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1.

電子ブック

EB
edited by Krishnaswami Alladi, John R. Klauder, Calyampudi R. Rao
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
オンライン: http://dx.doi.org/10.1007/978-1-4419-6263-8
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2.

電子ブック

EB
edited by Krishnaswami Alladi, Frank Garvan
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Developments in Mathematics ; 23
オンライン: http://dx.doi.org/10.1007/978-1-4614-0028-8
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3.

電子ブック

EB
by Krishnaswami Alladi
出版情報: India : Springer India : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-81-322-0767-2
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目次情報: 続きを見る
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Chapter 19: Review of “Srinivasa Ramanujan: The Lost Notebook and other unpublished papers”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
4.

電子ブック

EB
edited by Krishnaswami Alladi
出版情報: New York, NY : Springer-Verlag New York, 2008
シリーズ名: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 17
オンライン: http://dx.doi.org/10.1007/978-0-387-78510-3
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5.

電子ブック

EB
by Krishnaswami Alladi
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-981-15-6241-9
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目次情報: 続きを見る
-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-excelence
Chapter 9: Evariste Galois: Founder of Group Theory
Chapter 10: Leonhard Euler: Most Prolic 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: Niels Henrik Abel: Norwegian Mathematical Genius
Chapter 14: Issai Schur: Ramanujan's German Contemporary
Chapter 15: Robert Rankin: Scottish link with Ramanujan
Chapter 16: G. N. Watson: First to Investigate the Mock Theta Functions
Part II - Some Aspects of Ramanujan's Mathematics
Chapter 17: Ramanujan and
Chapter 18. Ramanujan and partitions
Chapter 19: Major progress on a problem of Ramanujan
Part III - Reviews of Books and Stage Productions
Chapter 20. Genius Whom the Gods Loved - A Review of "Srinivasa Ramanujan: The Lost Notebook and Other Unpublished Papers"
21. The Discovery and Rediscovery of Mahematical Genius - A Review of the book "The Man Who Knew Infinity: A Life of the Genius Ramanujan"
Chapter 22. A Review of "Ramanujan: Letters and Commentary"
Chapter 23. A Review of "Ramanujan: Essays and Surveys"
Chapter 24. Review of "Partition: A Play on Ramanujan"
Chapter 25. Review of the movie "The Man Who Knew Infinity"
Part IV - Preserving Ramanujan's Legacy
Chapter 26: The Ramanujan Journal: Its Conception, Need and Place
Chapter 27. A Pilgrimage to Ramanujan's Hometown
Chapter 28. The First SASTRA Ramanujan Prizes
Chapter 29. Ramanujan's Growing Influence
Chapter 30. The SASTRA Ramanujan Prize - Its Origins and its Winners
Chapter 31. Srinivasa Ramanujan - Going Strong at 125
Chapter 32: Ramanujan in Mauritius
Chapter 33. Royal Society Conference and Publication for Centenary of Ramanujan's Election as FRS
-Foreword (by George Andrews)
Preface
Part I - Ramanujan and other mathematical luminaries
6.

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