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1.

電子ブック

EB
by George E. Andrews, Bruce C. Berndt
出版情報: New York, NY : Springer New York, 2012
オンライン: http://dx.doi.org/10.1007/978-1-4614-3810-6
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2.

電子ブック

EB
by George E. Andrews, Bruce C. Berndt
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/b13290
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3.

電子ブック

EB
by George E. Andrews, Bruce C. Berndt
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-4081-9
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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11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series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
4.

電子ブック

EB
edited by Krishnaswami Alladi, Bruce C. Berndt, Peter Paule, James A. Sellers, Ae Ja Yee
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Trends in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-57050-7
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目次情報: 続きを見る
Preface
Part I Personal Contributions
The Worlds of George Andrews, a Daughter’s Take
My Association and Collaboration with George Andrews
Ramanujan, His Lost Notebook, Its Importance
Part II Photographs
George Andrews: “Combinatory Analysis 80” Picture Book
Part III Articles
Dissections of Strange q-Series
Dyson’s “Favorite” Identity and Chebyshev Polynomials of the Third and Fourth Kind
A q-Translation Approach to Liu’s Calculus
Combinations of Ranks and Cranks of Partitions Moduli 6, 9 and 12 and Their Comparison with the Partition Function
Combinatorial Proofs of Two Euler-Type Identities Due to Andrews
Noncommutative Catalan Numbers
Elementary Polynomial Identities Involving q-Trinomial Coefficients
A Partial Theta Function Borwein Conjecture
A Note on Andrews’ Partitions with Parts Separated by Parity
A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook
Quasipolynomials and Maximal Coefficients of Gaussian Polynomials
Finding Modular Functions for Ramanujan-Type Identities
Partitions into Distinct Parts Modulo Powers of 5
The A2 Rogers–Ramanujan Identities Revisited
Properties of Multivariate b-Ary Stern Polynomials
A Simple Proof of a Congruence for a Series Involving the Little q-Jacobi Polynomials
D.H. Lehmer’s Tridiagonal Determinant: An Étude in (Andrews-Inspired) Experimental Mathematics
Gaussian Binomial Coefficients with Negative Arguments
A Lecture Hall Theorem for m-Falling Partitions
New Fifth and Seventh Order Mock Theta Function Identities
On Pattern-Avoiding Fishburn Permutations
A q-Analogue for Euler’s ζ(6) = π6 /945
A Variant of IdentityFinder and Some New Identities of Rogers–Ramanujan–MacMahon Type
Andrews–Gordon Type Series for Kanade–Russell Conjectures
A Generalization of Schröter’s Formula
A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts
Combinatory Classes of Compositions with Higher Order Conjugation
Marking and Shifting a Part in Partitions
On Witten’s Extremal Partition Functions
A Proof of the Weierstraß Gap Theorem not Using the Riemann–Roch Formula
Richaud–Degert Real Quadratic Fields and Maass Waveforms
Sequentially Congruent Partitions and Related Bijections
Singular Overpartitions and Partitions with Prescribed Hook Differences
The Combinatorics of MacMahon’s Partial Fractions
Twin Composites, Strange Continued Fractions, and a Transformation that Euler Missed (Twice)
On the Andrews–Yee Identities Associated with Mock Theta Functions
Congruences for q-Binomial Coefficients
The Final Problem: A Series Identity from the Lost Notebook
A Family of Identities That Yields aWide Variety of Partition Theorem
Preface
Part I Personal Contributions
The Worlds of George Andrews, a Daughter’s Take