1.
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edited by Ervin Győri, Gyula O. H. Katona, László Lovász, Tamás Fleiner
2.
ＥＢ
by William A. Coppel
3.
ＥＢ
by William A. Coppel
4.
ＥＢ
edited by Wenpeng Zhang, Yoshio Tanigawa
5.
ＥＢ
by Michel L. Lapidus, Machiel Frankenhuijsen
6.
ＥＢ
by Steven Roman
7.
ＥＢ
by George Grätzer
8.
ＥＢ
by Armand Borel, Lizhen Ji
9.
ＥＢ
by S. Ponnusamy, Herb Silverman
10.
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edited by Victor Ginzburg
11.
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by Gabriel Daniel Villa Salvador
12.
ＥＢ
by Alexander Lubotzky
13.
ＥＢ
by André Voros
14.
ＥＢ
by John Stillwell
15.
ＥＢ
by Luis Ribes, Pavel Zalesskii
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 40
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-642-01642-4
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16.
ＥＢ
by Michael Th. Rassias
17.
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by George Grätzer
18.
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by Manfred Einsiedler, Thomas Ward
19.
ＥＢ
by Hershel M. Farkas, Shaul Zemel
出版情報:
New York, NY : Springer Science + Business Media, LLC, 2011
シリーズ名:
Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 21
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-1-4419-7847-9
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20.
ＥＢ
by Françoise Dal’Bo
21.
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edited by Akihiko Gyoja, Hiraku Nakajima, Ken-ichi Shinoda, Toshiaki Shoji, Toshiyuki Tanisaki
22.
ＥＢ
by Günter Köhler
23.
ＥＢ
by Jean Gallier
24.
ＥＢ
by Alexander Soifer
25.
ＥＢ
edited by A. Figà Talamanca
26.
ＥＢ
by Ulrich Daepp, Pamela Gorkin
27.
ＥＢ
by André Unterberger
28.
ＥＢ
by Marc Hindry
29.
ＥＢ
by David Joyner, Jon-Lark Kim
30.
ＥＢ
by Olivier Bordellès
31.
ＥＢ
by Xueliang Li, Yuefang Sun
32.
ＥＢ
by George E. Andrews, Bruce C. Berndt
33.
ＥＢ
by Larry J. Gerstein
34.
ＥＢ
by Jan Hendrik Bruinier, Gerard Geer, Günter Harder, Don Zagier ; edited by Kristian Ranestad
35.
ＥＢ
by Michael D. Fried, Moshe Jarden
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 11
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-540-77270-5
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36.
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by Rudolf Ahlswede, Vladimir Blinovsky
37.
ＥＢ
by André Unterberger ; edited by M. W. Wong, Luigi Rodino, Bert-Wolfgang Schulze, Johannes Sjöstrand, Sundaram Thangavelu, Marciej Zworski
38.
ＥＢ
by N.L. Biggs
39.
ＥＢ
by René Schoof
40.
ＥＢ
by Anatoli Andrianov
41.
ＥＢ
by Dorin Andrica, Titu Andreescu
42.
ＥＢ
by Titu Andreescu, Răzvan Gelca
43.
ＥＢ
by Joseph H. Silverman
44.
ＥＢ
by Michael Drmota
45.
ＥＢ
by Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo
46.
ＥＢ
edited by Daniel J. Bernstein, Johannes Buchmann, Erik Dahmen
47.
ＥＢ
by W.A. Coppel
48.
ＥＢ
by Timothy D. Browning
49.
ＥＢ
by Michael J. Jacobson, Hugh C. Williams ; edited by Karl Dilcher, K. Taylor
50.
ＥＢ
by Nancy Childress
51.
ＥＢ
by William Stein
出版情報:
New York, NY : Springer Science+Business Media, LLC, 2009
シリーズ名:
Undergraduate Texts in Mathematics ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/b13279
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52.
ＥＢ
by Steven H. Weintraub
53.
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edited by David Chudnovsky, Gregory Chudnovsky
54.
ＥＢ
by Titu Andreescu, Dorin Andrica, Ion Cucurezeanu
55.
ＥＢ
edited by Krishnaswami Alladi, John R. Klauder, Calyampudi R. Rao
56.
ＥＢ
by J.J. Duistermaat
57.
ＥＢ
edited by Gyula O. H. Katona, Alexander Schrijver, Tamás Szőnyi, Gábor Sági
出版情報:
Berlin, Heidelberg : János Bolyai Mathematical Society and Springer-Verlag, 2010
シリーズ名:
Bolyai Society Mathematical Studies ; 20
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-642-13580-4
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58.
ＥＢ
by Martin Aigner, Günter M. Ziegler
59.
ＥＢ
by Titu Andreescu, Bogdan Enescu
60.
ＥＢ
by Władysław Narkiewicz
61.
ＥＢ
edited by Krishnaswami Alladi, Frank Garvan
62.
ＥＢ
by Israel Kleiner
63.
ＥＢ
edited by Valentin Blomer, Preda Mihăilescu
64.
ＥＢ
by Hans Riesel
65.
ＥＢ
by Masanori Morishita
66.
ＥＢ
edited by Bernhard Krötz, Omer Offen, Eitan Sayag
67.
ＥＢ
edited by Dorian Goldfeld, Jay Jorgenson, Peter Jones, Dinakar Ramakrishnan, Kenneth A. Ribet, John Tate
68.
ＥＢ
edited by Daniel Bump, Solomon Friedberg, Dorian Goldfeld
目次情報:
続きを見る
Preface
Introduction: Multiple Dirichlet Series
A Crystal Description for Symplectic Multiple Dirichlet Series
Metaplectic Whittaker Functions and Crystals of Type B
Metaplectic Ice
Littelmann patterns and Weyl Group Multiple Dirichlet Series of Type D
Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series
Natural Boundaries and Integral Moments of L-functions.- A Trace Formula of Special Values of Automorphic L-functions
The Adjoint L-function of SU(2,1)
Symplectic Ice
On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III
A Pseudo Twin-Prime Theorem
Principal Series Representations of Metaplectic Groups over Local Fields
Two-Dimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2)
Preface
Introduction: Multiple Dirichlet Series
A Crystal Description for Symplectic Multiple Dirichlet Series
69.
ＥＢ
by Anton Deitmar
70.
ＥＢ
edited by Folkert Müller-Hoissen, Jean Marcel Pallo, Jim Stasheff
71.
ＥＢ
edited by Sergei V. Rogosin, Anna A. Koroleva
目次情報:
続きを見る
Introduction
Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline
Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions
Luchko, Yury: Anomalous diffusion: models, their analysis, and interpretation
Mityushev, Vladimir, V.: R-linear and Riemann-Hilbert problems for multiply connected domains
Plaksa, S. A.: Commutative algebras associated with classic equations of mathematical physics
Rogosin, Sergei V.: 2D Free Boundary Value Problems
Introduction
Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline
Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions
72.
ＥＢ
by Thomas Ernst
目次情報:
続きを見る
1 Introduction
2 The different languages of q
3 Pre q-Analysis
4 The q-umbral calculus and the semigroups. The Nørlund calculus of finite diff
5 q-Stirling numbers
6 The first q-functions
7 An umbral method for q-hypergeometric series
8 Applications of the umbral calculus
9 Ciglerian q-Laguerre polynomials
10 q-Jacobi polynomials
11 q-Legendre polynomials and Carlitz-AlSalam polynomials
12 q-functions of many variables
13 Linear partial q-difference equations
14 q-Calculus and physics
15 Appendix: Other philosophies
1 Introduction
2 The different languages of q
3 Pre q-Analysis
73.
ＥＢ
by Ze-Li Dou, Qiao Zhang
目次情報:
続きを見る
Modular forms and the Shimura-Taniyama Conjecture
Periods of automorphic forms
Lifting of automorphic forms
Zeros of L-functions
Special Values of L-functions
Theta lifts and periods with respect to a quadratic extension
Modular forms and the Shimura-Taniyama Conjecture
Periods of automorphic forms
Lifting of automorphic forms
74.
ＥＢ
by Xueli Wang, Dingyi Pei
目次情報:
続きを見る
Theta Functions and Their Transformation Formulae
Eisenstein Series
The Modular Group and Its Subgroups
Modular Forms with Integral Weight or Half-integral Weight
Operators on the Space of Modular Forms
New Forms and Old Forms.-Construction of Eisenstein Series
Weil Representation and Shimura Lifting
Trace Formula
Integers Represented by Positive Definite Quadratic Forms
Theta Functions and Their Transformation Formulae
Eisenstein Series
The Modular Group and Its Subgroups
75.
ＥＢ
by Michel L. Lapidus, Machiel van Frankenhuijsen
目次情報:
続きを見る
Preface
Overview
Introduction
1. Complex Dimensions of Ordinary Fractal Strings
2. Complex Dimensions of Self-Similar Fractal Strings
3. Complex Dimensions of Nonlattice Self-Similar Strings
4. Generalized Fractal Strings Viewed as Measures
5. Explicit Formulas for Generalized Fractal Strings
6. The Geometry and the Spectrum of Fractal Strings
7. Periodic Orbits of Self-Similar Flows
8. Fractal Tube Formulas
9. Riemann Hypothesis and Inverse Spectral Problems
10. Generalized Cantor Strings and their Oscillations
11. Critical Zero of Zeta Functions
12 Fractality and Complex Dimensions
13. Recent Results and Perspectives
Appendix A. Zeta Functions in Number Theory
Appendix B. Zeta Functions of Laplacians and Spectral Asymptotics
Appendix C. An Application of Nevanlinna Theory
Bibliography
Author Index
Subject Index
Index of Symbols
Conventions
Acknowledgements
Preface
Overview
Introduction
76.
ＥＢ
edited by Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, B. A. Taylor
目次情報:
続きを見る
Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
Mahonian Partition Identities Via Polyhedral Geometry (M. Beck, B. Braun, N. Le)
Second Order Modular Forms with Characters (T. Blann, N. Diamantis)
Disjointness of Moebius From Horocycle Flows (J. Bourgain, P. Sarnak, T. Zeigler)
Duality and Differential Operators for Harmonic MAASS Forms (K. Bringmann, B. Kane, R.C. Rhoades)
Function Theory Related to the Group PSL2(R) (R. Bruggeman, J. Lewis, D. Zagier)
Analysis of Degenerate Diffusion Operators Arising in Population Biology (C.L. Epstein, R. Mazzeo)
A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture (H.M. Farkas)
Continuous Solutions of Linear Equations (C. Fefferman, J. Kollár)
Recurrence for Stationary Group Actions (H. Furstenberg, E. Glasner)
On the Honda—Kaneko Congruences (P. Guerzhoy)
Some Intrinsic Constructions on Compact Riemann Surfaces (Robert C. Gunning)
The Parallel Refractor (C.E. Gutiérrez, F. Tournier)
On a Theorem of N. Katz and Bases in Irreducible Representations (D. Kazhdan)
Vector-valued Modular Forms with an Unnatural Boundary (M. Knopp, G. Mason)
Loss of Derivatives (J.J. Kohn)
On an Oscillatory Result for the Coefficients of General Dirichlet Series (W. Kohnen, W. de Azevedo Pribitkin)
Representation Varieties of Fucsian Groups (M. Larsen, Alexander Lubotzky)
Two Embedding Theorems (G.A. Mendoza)
Cubature Formulas and Discrete Fourier Transform on Compact Manifolds (I. Z. Pesenson, D. Geller)
The Moment Zeta Function and Applications (I. Rivin)
A Transcendence Criterion for CM on Some Families of Calabi—Yau Manifolds (P. Tretkoff)
Ehrenpreis and the Fundamental Principle (F. Treves)
Minimal Entire Functions (B. Weiss)
A Conjecture by Leon Ehrenpreis about Zeroes of Exponential Polynomials (A. Yger)
The Discrete Analog of the Malgrange—Ehrenpreis Theorem (D. Zeilberger)
The Legacy of Leon Ehrenpreis
PhD Students
Publications of Leon Ehrenpreis
Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
77.
ＥＢ
by George E. Andrews, Bruce C. Berndt
目次情報:
続きを見る
Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series
13 A Partial Manuscript on Fourier and Laplace Transforms
14 Integral Analogues of Theta Functions adn Gauss Sums
15 Functional Equations for Products of Mellin Transforms
16 Infinite Products
17 A Preliminary Version of Ramanujan's Paper, On the Integral ∫_0^x tan^(-1)t)/t dt
18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis
20 Elementary Results
21 A Strange, Enigmatic Partial Manuscript.- Location Guide
Provenance
References
Index
Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
78.
ＥＢ
edited by Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, Brett D. Wick
79.
ＥＢ
by Umberto Bottazzini, Jeremy Gray
出版情報:
New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名:
Sources and Studies in the History of Mathematics and Physical Sciences ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-1-4614-5725-1
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List of Figures
Introduction
1. Elliptic Functions
2. From real to complex
3. Cauch
4. Elliptic integrals
5. Riemann
6. Weierstrass
7. Differential equations
8. Advanced topics
9. Several variables
10. Textbooks
List of Figures
Introduction
1. Elliptic Functions
80.
ＥＢ
by Yuval Z. Flicker
目次情報:
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Elliptic Moduli
Hecke Correspondences
Trace Formulae
Higher Recipropcity Laws.
Elliptic Moduli
Hecke Correspondences
Trace Formulae
81.
ＥＢ
edited by Radu Laza, Matthias Schütt, Noriko Yui
目次情報:
続きを見る
.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties (J.D. Lewis)
Two Lectures on the Arithmetic of K3 Surfaces (M. Schütt)
Modularity of Calabi–Yau Varieties (N. Yui)
Explicit Algebraic Coverings of a Pointed Torus (A. Anema, J. Top)
Elliptic Fibrations on the Modular Surface Associated to Γ1(8)
Universal Kummer Families over Shimura Curves (A. Besser, R. Livné)
Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic (I.V. Dolgachev)
Picard-Fuchs Equations of Special One-Parameter Families of Invertible Polynomials (S. Gährs)
A Structure Theorem for Fibrations on Delsarte Surfaces (B. Heijne, R. Kloosterman)
Fourier–Mukai Partners and Polarised K3 Surfaces (K. Hulek, D. Ploog)
On a Family of K3 Surfaces with S4 Symmetry (D. Karp, J. Lewish, D. Moore, D. Skjorshammer, U. Whitcher)
K1ind of Elliptically Fibered K3 Surfaces (M. Kerr)
A Note About Special Cycles on Moduli Spaces of K3 Surfaces (S. Kudla)
Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms (S. Mukai, H. Ohashi)
Quartic K3 Surfaces and Cremona Transformations (K. Oguiso)
Invariants of Regular Models of the Product of Two Elliptical Curves at a Place of Multiplicative Reduction (C. Schoen)
Dynamics of Special Points on Intermediate Jacobians (X. Chen, J.D. Lewis)
Calabi–Yau Conifold Expansions (S. Cynk, D. van Straten)
Quadratic Twists of Rigid Calabi–Yau Threefolds over Q (F.Q. Gouvêa, I. Kimming, N. Yui)
Counting Sheaves on Calabi–Yau and Abelian Threefolds (M.G. Gulbrandsen)
The Serge Cubic and Borcherds Products (S. Kondo)
Quadi-Modular Forms Attached to Hodge Structures (H. Movasati)
The Zero Locus of the Infinitesimal Invariable (G. Pearlstein, Ch. Schnell)
.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
82.
ＥＢ
edited by Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel
目次情報:
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Foreword
Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces
F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products
F. Bogomolov, I. Karzhemanov, and K. Kuyumzhiyan, Unirationality and existence of infinitely transitive models
I. Cheltsov, L. Katzarkov, and V. Przyjalkowski, Birational geometry via moduli spaces
O. Debarre, Curves of low degrees on projective varieties
S. Kebekus, Uniruledness criteria and applications
S. Kovács, The cone of curves of K3 surfaces revisited
V. Lazić, Around and beyond the canonical class
C. Liedtke, Algebraic surfaces in positive characteristic
A. Varilly-Alvarado, Arithmetic of Del Pezzo surfaces
Foreword
Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces
F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products
83.
ＥＢ
by Michael A. Henning, Anders Yeo
目次情報:
続きを見る
1. Introduction
2. Properties of Total Dominating Sets and General Bounds
3. Complexity and Algorithmic Results
4.Total Domination in Trees
5.Total Domination and Minimum Degree
6. Total Domination in Planar Graphs
7. Total Domination and Forbidden Cycles
8. Relating the Size and Total Domination Number
9. Total Domination in Claw-Free Graphs
10. Total Domination Number versus Matching Number
11. Total Domination Critical Graphs
12. Total Domination and Graph Products
13. Graphs with Disjoint Total Dominating Sets
14. Total Domination in Graphs with Diameter Two
15. Nordhaus-Gaddum Bounds for Total Domination
16. Upper Total Domination
17.Variations of Total Domination
18. Conjectures and Open Problems
Index
1. Introduction
2. Properties of Total Dominating Sets and General Bounds
3. Complexity and Algorithmic Results
84.
ＥＢ
edited by Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin
目次情報:
続きを見る
Preface
Life and Mathematics of Alfred Jacobus van der Poorten (D. Hunt)
Ramanujan-Sato-Like Series (G. Almkvist, J. Guillera)
On the Sign of the Real Part of the Riemann Zeta Function (J. Arias de Reyna, R.P. Brent, J. van de Lune)
Additive Combinatorics with a View Toward Computer Science and Cryptography (K. Bibak)
Transcendence of Stammering Continued Fractions (Y. Bugeaud)
Algebraic Independence of Infinite Products and Their Derivatives (P. Bundschuh)
Small Representations by Indefinite Ternary Quadratic Forms (J.B. Friedlander, H. Iwaniec)
Congruences for Andrews' SPT-Function Modulo 32760 and Extension of Atkin's Hecke-Type Partition Congruences (F.G. Garvan)
Continued Fractions and Dedekind Sums for Function Fields (Y. Hamahata)
Burgess's Bounds for Character Sums (D.R. Heath-Brown).-Structured Hadamard Conjecture (I.S. Kotsireas)
Families of Cubic Thue Equations with Effective Bounds for the Solutions (C. Levesque, M. Waldschmidt)
Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros (V. Laohakosol, O. Phuksuwan)
On Balanced Subgroups of the Multiplicative Group (C. Pomerance, D. Ulmer)
Some Extensions of the Lucas Functions (E.L. Roettger, H.C. Williams, R.K. Guy)
The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture (J. Seberry)
Description of Generalized Continued Fractions by Finite Automata (J. Shallit)
Some Notes on Weighted Sum Formulae for Double Zeta Values (J. Wan)
Period(d)ness of L-Values (W. Zudilin)
Preface
Life and Mathematics of Alfred Jacobus van der Poorten (D. Hunt)
Ramanujan-Sato-Like Series (G. Almkvist, J. Guillera)
85.
ＥＢ
by Haruzo Hida
目次情報:
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1 Non-triviality of Arithmetic Invariants
2 Elliptic Curves and Modular Forms
3 Invariants, Shimura Variety and Hecke Algebra
4 Review of Scheme Theory
5 Geometry of Variety
6 Elliptic and Modular Curves over Rings.- 7 Modular Curves as Shimura Variety.- 8 Non-vanishing Modulo p of Hecke L–values.- 9 p-Adic Hecke L-functions and their μ-invariants.- 10 Toric Subschemes in a Split Formal Torus
11 Hecke Stable Subvariety is a Shimura Subvariety
References
Symbol Index
Statement Index
Subject Index
1 Non-triviality of Arithmetic Invariants
2 Elliptic Curves and Modular Forms
3 Invariants, Shimura Variety and Hecke Algebra
86.
ＥＢ
edited by Eckhard Hitzer, Stephen J. Sangwine
目次情報:
続きを見る
Preface.- History of Quaternion and Clifford-Fourier Transforms and Wavelets
Part I: Quaternions.- 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.- 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.- 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.- 5 Bochner’s Theorems in the Framework of Quaternion Analysis.- 6 Bochner-Minlos Theorem and Quaternion Fourier Transform
Part II: Clifford Algebra.- 7 Square Roots of -1 in Real Clifford Algebras.- 8 A General Geometric Fourier Transform.- 9 Clifford-Fourier Transform and Spinor Representation of Images
10 Analytic Video (2D+t) Signals Using Clifford-Fourier Transforms in Multiquaternion Grassmann-Hamilton-Clifford Algebras
11 Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications
12 Color Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising
13 Seeing the Invisible and Maxwell’s Equations
14 A Generalized Windowed Fourier Transform in Real Clifford Algebra Cl_{0,n}
15 The Balian-Low theorem for the Windowed Clifford-Fourier Transform
16 Sparse Representation of Signals in Hardy Space. - Index
Preface.- History of Quaternion and Clifford-Fourier Transforms and Wavelets
Part I: Quaternions.- 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.- 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.- 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.- 5 Bochner’s Theorems in the Framework of Quaternion Analysis.- 6 Bochner-Minlos Theorem and Quaternion Fourier Transform
Part II: Clifford Algebra.- 7 Square Roots of -1 in Real Clifford Algebras.- 8 A General Geometric Fourier Transform.- 9 Clifford-Fourier Transform and Spinor Representation of Images
87.
ＥＢ
by Laurent Berger, Gebhard Böckle, Lassina Dembélé, Mladen Dimitrov, Tim Dokchitser, John Voight
目次情報:
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Part I: Galois Deformations
On p-adic Galois Representations
Deformations of Galois Representations
Part II: Hilbert Modular Forms
Arithmetic Aspects of Hilbert Modular Forms and Varieties
Explicit Methods for Hilbert Modular Forms
Part III: Elliptic Curves
Notes on the Parity Conjecture
Part I: Galois Deformations
On p-adic Galois Representations
Deformations of Galois Representations
88.
ＥＢ
by David J. Grynkiewicz
目次情報:
続きを見る
1. Abelian Groups and Character Sums
2. Introduction to Sumsets
3. Simple Results for Torsion-Free Abelian Groups
4. Basic Results for Sumsets with an Infinite Summand
5. The Pigeonhole and Multiplicity Bounds
6. Periodic Sets and Kneser's Theorem
7. Compression, Complements and the 3k–4 Theorem
8. Additive Energy
9. Kemperman's Critical Pair Theory
10. Zero-Sums, Setpartitions and Subsequence Sums
11. Long Zero-Sum Free Sequences over Cyclic Groups
12. Pollard's Theorem for General Abelian Groups
13. The DeVos–Goddyn–Mohar Theorem
14. The Partition Theorem I
15. The Partition Theorem II
16. The Ψ-Weighted Gao Theorem
17. Group Algebras
18. Character and Linear Algebraic Methods
19. Character Sum and Fourier Analytic Methods
20. Freiman Homomorphisms Revisited
21. The Isoperimetric Method
22. The Polynomial Method
Index
1. Abelian Groups and Character Sums
2. Introduction to Sumsets
3. Simple Results for Torsion-Free Abelian Groups
89.
ＥＢ
by Marco Fontana, Evan Houston, Thomas Lucas
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Lecture Notes of the Unione Matematica Italiana ; 14
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オンライン:
http://dx.doi.org/10.1007/978-3-642-31712-5
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90.
ＥＢ
edited by John Coates, Peter Schneider, R. Sujatha, Otmar Venjakob
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 29
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http://dx.doi.org/10.1007/978-3-642-32199-3
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Preface
John Coates, Dohyeong Kim: Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields
R. Sujatha: Reductions of the main conjecture
Ted Chinburg, Georgios Pappas, Martin J. Taylor: The group logarithm past and present
Peter Schneider, Otmar Venjakob: K_1 of certain Iwasawa algebras, after Kakde
Mahesh Kakde: Congruences between abelian p-adic zeta functions
Otmar Venjakob: On the work of Ritter and Weiss in comparison with Kakde's approach
Malte Witte: Noncommutative Main Conjectures of Geometric Iwasawa Theory
Preface
John Coates, Dohyeong Kim: Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields
R. Sujatha: Reductions of the main conjecture
91.
ＥＢ
by Jürgen Neukirch
目次情報:
Cohomology of Finite Groups
Local Class Field Theory
Global Class Field Theory
Cohomology of Finite Groups
Local Class Field Theory
Global Class Field Theory
92.
ＥＢ
edited by Peter Eichelsbacher, Guido Elsner, Holger Kösters, Matthias Löwe, Franz Merkl, Silke Rolles
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 42
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オンライン:
http://dx.doi.org/10.1007/978-3-642-36068-8
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W. van Zwet: A conversation with Friedrich Götze
V. Bernik, V. Beresnevich, F. Götze, O. Kukso: Distribution of algebraic numbers and metric theory of Diophantine approximation
J. Marklof: Fine-scale statistics for the multidimensional Farey sequence
S. G. Bobkov, M. M. Madiman: On the problem of reversibility of the entropy power inequality
G. P. Chistyakov: On probability measures with unbounded angular ratio
M. Gordin: CLT for stationary normal Markov chains via generalized coboundaries
T. Mai, R. Speicher: Operator-valued and multivariate free Berry-Esseen theorems
R. Bhattacharya: A nonparametric theory of statistics on manifolds
J. Lember, H. Matzinger, F. Torres: Proportion of gaps and uctuations of the optimal score in random sequence comparison
Y. V. Prokhorov, V. V. Ulyanov: Some approximation problems in statistics and probability
H. Döring, P. Eichelsbacher: Moderate deviations for the determinant of Wigner matrices
O. Friesen, M. Löwe: The semicircle law for matrices with dependent entries
A. Tikhomirov: Limit theorems for random matrices
W. van Zwet: A conversation with Friedrich Götze
V. Bernik, V. Beresnevich, F. Götze, O. Kukso: Distribution of algebraic numbers and metric theory of Diophantine approximation
J. Marklof: Fine-scale statistics for the multidimensional Farey sequence
93.
ＥＢ
by Krishnaswami Alladi
目次情報:
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Foreword (by George Andrews)
Preface
Part I: Ramanujan and other mathematical luminaries
Chapter 1: Ramanujan - an estimation
Chapter 2: Ramanujan - the second century
Chapter 3: L. J. Rogers - a contemporary of Ramanujan
Chapter 4: P. A. MacMahon - Ramanujan's distinguished contemporary
Chapter 5: Fermat and Ramanujan - a comparison
Chapter 6: J. J. Sylvester - Ramanujan's illustrious predecessor
Chapter 7: Erdos and Ramanujan - legends of twentieth century mathematics
Chapter 8: C. G. J. Jacobi - algorist par-excellence
Chapter 9: Evariste Galois - founder of group theory
Chapter 10: Leonhard Euler - most prolific mathematician in history
Chapter 11: G. H. Hardy - Ramanujan's mentor
Chapter 12: J. E. Littlewood - Ramanujan's contemporary and Hardy's collaborator
Chapter 13: Neils Henrik Abel - Norwegian mathematical genius
Chapter 14: Issai Schur - Ramanujan's German contemporary
Chapter 15: Robert Rankin - Scottish link with Ramanujan
Part II: On some aspects of Ramanujan's mathematics
Chapter 16: Ramanujan and pi
Chapter 17: Ramanujan and partitions
Chapter 18: Major progress on a problem of Ramanujan
Part III: Reviews
Chapter 19: Review of “Srinivasa Ramanujan: The Lost Notebook and other unpublished papers”
Chapter 20: Review of “The man who knew infinity - book by Robert Kanigel”
Chapter 21: Review of “Ramanujan: Letters and Commentary - book by Bruce Berndt and Robert Rankin”
Chapter 22: Review of “Ramanujan: Essays and Surveys - book by Bruce Berndt and Robert Rankin”
Chapter 23: Review of “Partitions - a play on Ramanujan”
Part IV: Preserving Ramanujan's legacy
Chapter 24: The Ramanujan Journal - its conception, need and place
Chapter 25: A pilgrimage to Ramanujan's hometown
Chapter 26: The first SASTRA Ramanujan prizes
Chapter 27: Ramanujan's growing influence
Index
Foreword (by George Andrews)
Preface
Part I: Ramanujan and other mathematical luminaries
94.
ＥＢ
by M. Ram Murty, V. Kumar Murty
目次情報:
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Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
Chapter 3. Ramanujan’s conjecture and l-adic representations
Chapter 4. The Ramanujan conjecture from GL(2) to GL(n)
Chapter 5. The circle method
Chapter 6. Ramanujan and transcendence
Chapter 7. Arithmetic of the partition function
Chapter 8. Some nonlinear identities for divisor functions
Chapter 9. Mock theta functions and mock modular forms
Chapter 10. Prime numbers and highly composite numbers
Chapter 11. Probabilistic number theory
Chapter 12. The Sato-Tate conjecture for the Ramanujan tau-function
Bibliography
Index
Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
95.
ＥＢ
by Mak Trifković
目次情報:
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1 Examples
2 A Crash Course in Ring Theory
3 Lattices
4 Arithmetic in Q[√D]
5 The Ideal Class Group and Geometry of Numbers
6 Continued Fractions
7 Quadratic Forms
Appendix
Hints to Selected Exercises
Index
1 Examples
2 A Crash Course in Ring Theory
3 Lattices
96.
ＥＢ
edited by László Lovász, Imre Z. Ruzsa, Vera T. Sós
目次情報:
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Contents
Preface
Alon, N.: Paul Erdös and Probabilistic Reasoning
Benjamini, I.: Euclidean vs. Graph Metric
Bollobas, B. and Riordan, O.: The Phase Transition in the Erdös–Rényi Random Graph Process
Bourgain, J.: Around the Sum-product Phenomenon
Breuillard, E., Green, B. and Tao, T.: Small Doubling in Groups
Diamond, H. G.: Erdös and Multiplicative Number Theory
Füredi, Z. and Simonovits, M.: The History of Degenerate (Bipartite) Extremal Graph Problems
Gowers, W. T.: Erdös and Arithmetic Progressions
Graham, R. L.: Paul Erdös and Egyptian Fractions
Györy, K.: Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions
Komjáth, P.: Erdös’s Work on Infinite Graphs
Kunen, K.: The Impact of Paul Erd˝os on Set Theory
Mauldin, R. D.: Some Problems and Ideas of Erdös in Analysis and Geometry
Montgomery, H. L.: L2 Majorant Principles
Nesetril, J.: A Combinatorial Classic – Sparse Graphs with High Chromatic Number
Nguyen, H. H. and Vu, V. H.: Small Ball Probability, Inverse Theorems, and Applications
Pach, J.: The Beginnings of Geometric Graph Theory
Pintz, J.: Paul Erdös and the Difference of Primes
Pollack, P. and Pomerance, C.: Paul Erdös and the Rise of Statistical Thinking in Elementary Number Theory
Rödl, V. and Schacht, M.: Extremal Results in Random Graphs.-Schinzel, A.: Erdös’s Work on the Sum of Divisors Function and on Euler’s Function
Shalev, A.: Some Results and Problems in the Theory of Word Maps
Tenenbaum, G.: Some of Erdös’ Unconventional Problems in Number Theory, Thirty-four Years Later
Totik, V.: Erdös on Polynomials
Vertesi, P.: Paul Erdös and Interpolation: Problems, Results, New Developments
Contents
Preface
Alon, N.: Paul Erdös and Probabilistic Reasoning
97.
ＥＢ
by Oleg Karpenkov
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Algorithms and Computation in Mathematics ; 26
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オンライン:
http://dx.doi.org/10.1007/978-3-642-39368-6
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Preface
Introduction
Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions
Chapter 2. On integer geometry
Chapter 3. Geometry of regular continued fractions
Chapter 4. Complete invariant of integer angles
Chapter 5. Integer trigonometry for integer angles
Chapter 6. Integer angles of integer triangles
Chapter 7. Continued fractions and SL(2; Z) conjugacy classes. Elements of Gauss Reduction Theory. Markoff spectrum
Chapter 8. Lagrange theorem
Chapter 9. Gauss-Kuzmin statistics
Chapter 10. Geometric approximation aspects
Chapter 11. Geometry of continued fractions with real elements and the second Kepler law
Chapter 12. Integer angles of polygons and global relations to toric singularities
Part 2. Klein polyhedra: Chapter 13. Basic notions and definitions of multidimensional integer geometry
Chapter 14. On empty simplices, pyramids, parallelepipeds
Chapter 15. Multidimensional continued fractions in the sense of Klein
Chapter 16. Dirichlet groups and lattice reduction
Chapter 17. Periodicity of Klein polyhedra. Generalization of Lagrange theorem
Chapter 18. Multidimensional Gauss-Kuzmin statistics
Chapter 19. On construction of multidimensional continued fractions
Chapter 20. Gauss Reduction in higher dimensions
Chapter 21. Decomposable forms. Relation to Littlewood and Oppenheim conjectures
Chapter 22. Approximation of maximal commutative subgroups
Chapter 23. Other generalizations of continued fractions
Bibliography
Preface
Introduction
Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions
98.
ＥＢ
edited by Gradimir V. Milovanović, Michael Th. Rassias
目次情報:
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Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
The mean values of the Riemann Zeta function on the critical line (A. Ivić)
Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani)
On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto)
Multiple Gamma functions and their applications (J. Choi)
On partition functions of hyperbolic three-geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde)
Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek)
Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana)
Identities for reciprocal binomials (A. Sofo)
A note on q-Stirling numbers (M. Merca)
Part II. Analytic Inequalities and Applications
A survey on Cauchy–Bunyakovsky–Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir)
Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang)
Completely monotone functions—a digest (M. Merkle)
New applications of superquadracity (S. Abramovich)
Green's operator and differential forms (S. Ding, Y. Xing)
Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang)
The function (bx-ax)/x: Ratio's properties (F. Qi, Q.-M. Luo, B.-N. Guo)
On the approximation and bounds of the Gini mean difference (P. Cerone)
On parametric nonconvex variational inequalities (M.A. Noor)
Part III. Approximation of Functions and Quadratures
Simultaneous approximation for Stancu type generalization of certain summation-integral typfe operators (N.K. Govil, V. Gupta)
Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine)
Reflections on the Baker–Gammel–Wills (Padé) conjecture (D.S. Lubinsky)
Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanović, K.M. Shadimetov)
Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić)
Part IV. Orthogonality, Transformations and Applications
Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. López, E.P. Sinusía)
On a direct Uvarov–Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)
On special cases of Boas–Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich)
Goursat's hypergeometric transformations, revisited (P.W. Karlsson)
Convolutions product and differential and integro-differential equations (A. Kiliçman)
Orthogonally additive-additive functional equation (C. Park)
Part V. Special and Complex Functions and Applications
Alternating Mathieu series, Hilbert–Eisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogány)
Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány)
Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz)
Poincaré α-series for classical Schottky groups (V.V. Mityushev)
Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)
A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee)
Index
Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
The mean values of the Riemann Zeta function on the critical line (A. Ivić)
Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani)
99.
ＥＢ
edited by Günther Frei, Franz Lemmermeyer, Peter J. Roquette
目次情報:
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Part I: Introduction to the Correspondence
1. Introduction
2. Emil Artin, his Life and his Work
3. Reminiscing Helmut Hasse
4. Reciprocity Laws for Power Residues
5. Class Field Theory
6. Time Table
Part II: The Letters. References
Name Index
Subject Index
Part I: Introduction to the Correspondence
1. Introduction
2. Emil Artin, his Life and his Work
100.
ＥＢ
by M. Mursaleen
目次情報:
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Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
Lototski Summability and Analytic Continuation
Summability Methods for Random Variables
Almost Summability
Almost Summability of Taylor Series
Matrix Summability of Fourier and Walsh-Fourier Series
Almost Convergence in Approximation Process
Statistical Summability
Statistical Approximation
Applications to fixed point theorems
Bibliography
Index
Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
ＥＢ
