1  20
 Alladi, Krishnaswami, author.
 Second edition.  Singapore : Springer, [2021]
 Description
 Book — 1 online resource : illustrations (chiefly color)
 Summary

 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 parexcelence.
 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 Genius Whom the Gods Loved  A Review of "Srinivasa Ramanujan: The Lost Notebook and Other Unpublished Papers". 21.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.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Alladi, Krishnaswami.
 New Delhi ; New York : Springer, ©2013.
 Description
 Book — 1 online resource
 Summary

 Part 1. Ramanujan and other mathematical luminaries
 Ramanujan: An Estimation
 Ramanujan: The Second Century
 L.J. Rogers: A Contemporary of Ramanujan
 P.A. MacMahon: Ramanujan's Distinguished Contemporary
 Fermat and Ramanujan: A Comparison
 J.J. Sylvester: Ramanujan's Illustrious Predecessor
 Erdös and Ramanujan: Legends of Twentieth Century Mathematics
 C.G.J. Jacobi: Algorist parexcellence
 Evariste Galois: Founder of Group Theory
 Leonhard Euler: Most Prolific Mathematician in History
 G.H. Hardy: Ramanujan's Mentor
 J.E. Littlewood: Ramanujan's Contemporary and Hardy's Collaborator
 Niels Henrik Abel: Norwegian Mathematical Genius
 Issai Schur: Ramanujan's German Contemporary
 Robert Rankin: Scottish Link with Ramanujan
 Part 2. On Some Aspects of Ramanujan's Mathematics
 Ramanujan and [pi]
 Ramanujan and Partitions
 Major Progress on a Problem of Ramanujan
 Part 3. Book Reviews
 Genius Whom the Gods LovedA Review of "Srinivasa Ramanujan: The Lost Notebook and Other Unpublished Papers"
 The Discovery and Rediscovery of Mathematical GeniusA Review of "The Man Who Knew Infinity: A Life of the Genius Ramanujan"
 A Review of "Ramanujan: Letters and Commentary"
 A Review of "Ramanujan: Essays and Surveys"
 A Review of "Partition: A Play on Ramanujan"
 Part 4. Preserving Ramanujan's Legacy
 The Ramanujan Journal: Its Conception, Need and Place
 A Pilgrimage to Ramanujan's Hometown
 The First SASTRA Ramanujan Prizes
 Ramanujan's Growing Influence.
(source: Nielsen Book Data)
 Alladi, Krishnaswami.
 Madras, India : Institute of Mathematical Sciences, 1979.
 Description
 Book — 84 leaves : ill. ; 29 cm.
 Online
SAL3 (offcampus storage)
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QA3 .M37 NO.100  Available 
5. New concepts in arithmetic functions [1975]
 Alladi, Krishnaswami.
 Madras, India : Institute of Mathematical Sciences, [1975?]
 Description
 Book — 65 leaves in various pagings ; 28 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

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QA3 .M37 NO.83  Available 
6. Diophantine approximations [1974]
 Alladi, Krishnaswami.
 Madras, India, Institute of Mathematical Sciences [1974?]
 Description
 Book — 1 v.(various pagings) 27cm.
 Online
SAL3 (offcampus storage)
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QA3 .M37 NO.80  Available 
7. Contributions to number theory [1973]
 Alladi, Krishnaswami.
 (Rev. and enl.)  Madras, Institute of Mathematical Sciences [1973?]
 Description
 Book — 1 v. (various pagings) 28 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA3 .M37 NO.74A  Available 
8. Quadratic and higher degree forms [2013]
 New York, NY : Springer, 2013.
 Description
 Book — 1 online resource (ix, 298 pages) : illustrations Digital: text file.PDF.
 Summary

 Toy Models for D.H. Lehmer's Conjecture II / Eiichi Bannai, Tsuyoshi Miezaki
 On Representation of an Integer by X² + Y² + Z² and the Modular Equations of Degree 3 and 5 / Alexander Berkovich
 Almost Universal Ternary Sums of Squares and Triangular Numbers / Wai Kiu Chan, Anna Haensch
 Weighted Generating Functions for Type II Lattices and Codes / Noam D. Elkies, Scott Duke Kominers
 Quadratic Forms and Automorphic Forms / Jonathan Hanke
 Integral Positive Ternary Quadratic Forms / William C. Jagy
 Some Aspects of the Algebraic Theory of Quadratic Forms / R. Parimala
 On the Length of Binary Forms / Bruce Reznick
 Representation of Quadratic Forms by Integral Quadratic Forms / Rainer SchulzePillot
 Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms / John Voight.
9. Surveys in number theory [2008]
 New York ; London : Springer, 2008.
 Description
 Book — 1 online resource (x, 188 pages) Digital: text file.PDF.
 Summary

 A survey of multipartitions: congruences and identities / George E. Andrews
 Koshliakov's formula and Guinand's formula in Ramanujan's lost notebook / Bruce C. Berndt, Yoonbok Lee, Jaebum Sohn
 Exploiting symmetries: alternatingsign matrices and the Weyl character formulas / David M. Bressoud
 Theta functions in complex analysis and number theory / Hershel M. Farkas
 Inverse problems for representation functions in additive number theory / Melvyn B. Nathanson
 Mock theta functions, ranks, and Maass forms / Ken Ono
 Elliptic functions and transcendence / Michel Waldschmidt.
(source: Nielsen Book Data)
 International Ramanujan Centenary Conference (1987 : Anna University)
 Berlin ; New York : SpringerVerlag, c1989.
 Description
 Book — 234 p. : ill. ; 25 cm.
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA3 .L28 V.1395  Available 
 Matscience Conference on Number Theory (4th : 1984 : Udagamandalam, India)
 Berlin ; New York : SpringerVerlag, c1985.
 Description
 Book — 217 p. : ill. ; 24 cm.
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA3 .L28 V.1122  Available 
12. Number theory : proceedings of the Third Matscience Conference held at Mysore, India, June 36, 1981 [1982]
 Matscience Conference on Number Theory (3rd : 1981 : Mysore, India)
 Berlin ; New York : SpringerVerlag, 1982.
 Description
 Book — ix, 177 p. ; 25 cm.
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

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QA3 .L28 V.938  Available 
 New York ; London : Springer, 2008.
 Description
 Book — x, 188 p.
 Ramakrishnan, Alladi, author.
 Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2019]
 Description
 Book — 1 online resource.
 Boston, Mass. ; London : Kluwer, 1998.
 Description
 Book — 1 online resource (298 pages) : illustrations
 Summary

 Editorial
 K. Alladi. Euler's Function in Residue Classes
 T. Dence, C. Pomerance. Partition Identities Involving Gaps and Weights, II
 K. Alladi. The Voronoi Identity via the Laplace Transform
 A. Ivic. The Residue of p(N) Nodulo Small Primes
 K. Ono. A Small Maximal Sidon Set
 I.Z. Ruzsa. Sums and Products from a Finite Set of Real Numbers
 K. Ford. The Distribution of Totients
 K. Ford. A MeanValue Theorem for Multiplicative Functions on the Set of Shifted Primes
 K.H. Indlekofer, N.M. Timofeev. Entiers Lexicographiques
 A. Stef, G. Tenenbaum. The BerryEsseen Bound in the Theory of Random Permutations
 E. Manstavicius. Products of Shifted Primes, Multiplicative Analogues of Goldbach's Problems, II
 P.D.T.A. Elliott. On Products of Shifted Primes
 P. Berrizbeitia, P.D.T.A. Elliott. On Large Values of the Divisor Function
 P. Erdos, et al. Some New OldFashioned Modular Identities
 P.T. Bateman, M.I. Knopp. Linera Forms in Finite Sets of Integers
 S.P. Han, et al. A Binary Additive Problem of Erdos and the Order of 2 mod p2
 A. Granville, K. Soundararajan.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
16. Partitions, qseries, and modular forms [2012]
 New York, NY : Springer, ©2012.
 Description
 Book — 1 online resource (xii, 224 pages) Digital: text file.PDF.
 Summary

 Preface(K. Alladi and F. Garvan)
 1. MacMahon's dream (G.E. Andrews and P. Paule)
 2. Ramanujan's elementary method in partition congruences (B. Berndt, C. Gugg, and S. Kim)
 3. Coefficients of harmonic Maass forms (K. Bringmann and K. Ono)
 4. On the growth of restricted partition functions (E.R. Canfield and H. Wilf)
 5. On applications of roots of unity to product identities (Z. Cao)
 6. Lecture hall sequences, qseries, and asymmetric partition identities (S. Corteel, C. Savage and A. Sills)
 7. Generalizations of Hutchinson's curve and the Thomae formula (H. Farkas)
 8. On the parity of the RogersRamanujan coefficients (B. Gordon)
 9. A survey of the classical mock theta functions (B. Gordon and R. McIntosh)
 10. An application of the CauchySylvester theorem on compound determinants to a BC_n Jackson integral (M. Ito and S. Okada)
 11. Multiple generalizations of qseries identities found in Ramanujan's Lost Notebook (Y. Kajihara)
 12. Nonterminating qWhipple transformations for basic hypergeometric series in U(n) (S.C. Milne and J.W. Newcomb).
 International Conference on Number Theory (2016 : Gainesville, Fla.)
 Cham, Switzerland : Springer, 2017.
 Description
 Book — 1 online resource (l, 736 pages) : illustrations (some color) Digital: PDF.text file.
 Summary

 Manjul Bhargava, Princeton University Squarefree values of polynomial discriminants Ron Graham, University of California San Diego Monochromatic solutions to linear equations Aleksandar Ivic, Serbian Academy of Sciences Hardy's function Z(t)  results and problems Roger Baker, Brigham Young University Limit points and long gaps between primes 1 Dan Goldston, San Jose State University Sums and Differences of Pairs of Primes Helmut Maier, Universitat Ulm Recent Results on Gaps between Primes (joint with Michael Th. Rassias) Janos Pintz, MTA Renyi Institute, Budapest, Hungary On some old conjectures of Paul Erd os on the difference of consecutive primes Gerald Tenenbaum, Universite de Lorraine Effective meanvalue estimates for complex multiplicative functions Cameron Stewart, University of Waterloo On the abc conjecture Winnie Li, Pennsylvania State University Combinatorial zeta and Lfunctions James Maynard, University of Oxford Linear equations in primes James Maynard, University of Oxford Talk
 2: Prime values of polynomials Wadim Zudilin, University of Newcastle, Australia On certain irrational values of the logarithm: beyond the 1979 limitations Doron Zeilberger, Rutgers University Krishna Alladi's Early Love: Irrationality Measures of Famous Constants Kevin Ford, University of Illinois Large gaps between primes and related problems Kathrin Bringman, University of Cologne Ramanujan and meromorphic modular forms Ken Ono, Emory Unversity Riemann Hypothesis for Period Polynomials of Modular FormsMourad Ismail, University of Central Florida Identities related to the RogersRamanujan identitiesJim Lepowsky, Rutgers University "Motivated proofs" of generalized RogersRamanujan identities as stimuli for new ideas in vertex operator algebra theory Christian Krattenthaler, University of Vienna Discrete analogues of MacdonaldMehta integrals.
 (source: Nielsen Book Data)
 Preface
 List of Participants
 PlusMinus Weighted ZeroSum Constants: A Survey. Vectorvalued Modular Forms and the Seventh Order Mock Theta Functions. The AlladiSchur Polynomials and Their Factorization. New Representations for s(q) via Reciprocity Theorems. Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet LFunctions. New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions. The Appearance of H.F. Baker and E.W. Hobson in "The Man Who Knew Infinity". A Bibasic Heine Transformation Formula and Ramanujan's 2f1 Transformations. Adventures with the OEIS. ThreeColored Partitions and Dilated Companions of Capparelli's Identities. Nearly Equal Distributions of the Rank and the Crank of Partitions. Holonomic Alchemy and Series for 1/π
 Integral Points on a Very Flat Convex Curve
 Unification, Refinements and Companions of Generalisations of Schur's Theorem
 Integrals Involving RudinShapiro Polynomials and Sketch of a Proof of Saffari's Conjecture
 From Ramanujan to Groups of Rationals: A personal history of abstract multiplicative functions. On an Additive Prime Divisor Function of Alladi and Erdos. Ramanujan's Tau Function. Construction of Cusp Forms Using RankinCohen Brackets. An Open Problem of Corteel, Lovejoy, and Mallet. On the Asymptotics of Partial Theta Functions. Overpartitions and Truncated Partition Identities
 Congruences Modulo Powers of 2 for the Number of Unique Path Partitions. Complex Form of Classical and Quantum Electrodynamics
 On a System of qPartial Differential Equations with Applications to qSeries. Asymmetric Generalizations of Schur's theorem
 Local Behavior of the Composition of the Aliquot and CoTotient Functions. On the Universal Mock Theta Function g2 and Zwegers' μfunction
 Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series. Littlewood Polynomials
 Trapezoidal Numbers, Divisor Functions, and a Partition Theorem of Sylvester
 Estimates of li(q(x))−p(x) and the Riemann Hypothesis. PartitionTheoretic Formulas for Arithmetic Densities. A NewWitness Identity for 11.
(source: Nielsen Book Data)
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — ix, 174 pages : illustrations ; 26 cm.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA345 .R36 2014  Unknown 
 New York : Springer, ©2010.
 Description
 Book — 1 online resource (xvii, 575 pages) : illustrations (some color) Digital: text file.PDF.
 Summary

 Cover13;
 The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
 Preface
 Contents
 Part I The Legacy of Alladi Ramakrishnan
 Contributions of Alladi Ramakrishnan to the Mathematical Sciences
 Alladi Ramakrishnan's Theoretical Physics Seminar
 Telegrams Received for the MATSCIENCE Inauguration
 The Miracle has Happened
 Overseas Trips of Alladi Ramakrishnan
 List of Publications of Alladi Ramakrishnan
 List of PhD Students of Alladi Ramakrishnan
 Part II Pure Mathematics
 Inversion and Invariance of Characteristic Terms: Part I
 1 Introduction
 2 Notation
 3 Remarks and Lemmas
 4 Newtonian Expansion
 5 Quadratic Transformations
 6 Dicritical Divisors
 7 Field Generators
 8 Preview of Part II
 9 Epilogue
 References
 Partitions with NonRepeating Odd Partsand QHypergeometric Identities
 1 Introduction
 2 The Series Expansion
 3 Sylvester's Identity
 4 Lebesgue's Identity
 5 Three Parameter Extension
 6 The RogersFine Identity
 7 Partition Interpretations
 References
 qCatalan Identities
 1 Introduction
 2 qTouchard's Identity
 3 Koshy's Identity
 4 Jonah's Identity
 5 Conclusion
 References
 Completing Brahmagupta's Extension of Ptolemy's Theorem
 1 Introduction
 2 Brahmagupta's Refinements of Ptolemy's Theorem
 3 Further Results of Brahmagupta
 4 The Third Diagonal of a Cyclic Quadrilateral
 References
 A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan's Lost Notebook
 1 Introduction
 2 Preliminary Results
 3 First Proof of Theorem 1.1
 4 Second Proof of (1.3)
 References
 Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures
 1 Introduction
 2 Ramanujan's Modular Equations of Degree 3 and Associated Identities for Ternary Quadratic Forms with Discriminant 144
 3 Ramanujan's Modular Equations of Degree 5 and Associated Identities for Ternary Quadratic Forms with Discriminant 400
 4 Ternary Forms with Discriminant 784
 5 Ternary Forms with Discriminant 3600
 6 SGenus
 References
 How Often is n! a Sum of Three Squares?
 1 Introduction
 2 The Substitution
 3 Proof of Theorem 2
 References
 Eulerian Polynomials: From Euler's Time to the Present
 1 Introduction
 2 Euler's Definition of the Eulerian Polynomials
 3 A Formulary for the Eulerian Polynomials
 4 A Relation with the Tangent Numbers
 5 The Carlitz qEulerian Polynomials
 6 A Detour to Combinatorics
 References
 Crystal Symmetry Viewed as Zeta Symmetry II
 1 Introduction
 2 Lattice ZetaFunction
 3 Results on Lattice ZetaFunctions
 4 Applications
 References
 Positive Homogeneous Minima for a System of Linear Forms
 References
 The Divisor Matrix, Dirichlet Series, and SL(2, Z)
 1 Introduction
 2 Basic Definitions and Notation
 3 An Action of SL(2, Z) on Dirichlet Series
 4 A Jordan Form of the Divisor Matrix
 5 Construction of Representations
 6 Proof of Theorem 3.1
 7 Extending Representations to GL(2, Z)
 8 Uniqueness of M
 9 Dirichlet Series in the SL(2, Z)Orbit of (s)
 10 The Cubic Equation Relating (s) and (s)
 11 A Functional Equation for (s)
 References
 Pr.
 Cham : Birkhäuser, [2021]
 Description
 Book — 1 online resource (802 pages) : illustrations
 Summary

 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 qSeries. Dyson's "Favorite" Identity and Chebyshev Polynomials of the Third and Fourth Kind. A qTranslation 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 EulerType Identities Due to Andrews. Noncommutative Catalan Numbers. Elementary Polynomial Identities Involving qTrinomial 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 RamanujanType Identities. Partitions into Distinct Parts Modulo Powers of 5. The A2 RogersRamanujan Identities Revisited. Properties of Multivariate bAry Stern Polynomials. A Simple Proof of a Congruence for a Series Involving the Little qJacobi Polynomials. D.H. Lehmer's Tridiagonal Determinant: An Etude in (AndrewsInspired) Experimental Mathematics. Gaussian Binomial Coefficients with Negative Arguments. A Lecture Hall Theorem for mFalling Partitions. New Fifth and Seventh Order Mock Theta Function Identities. On PatternAvoiding Fishburn Permutations. A qAnalogue for Euler's (6) = 6 /945. A Variant of IdentityFinder and Some New Identities of RogersRamanujanMacMahon Type. AndrewsGordon Type Series for KanadeRussell Conjectures. A Generalization of Schroeter'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 RiemannRoch Formula. RichaudDegert 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 AndrewsYee Identities Associated with Mock Theta Functions. Congruences for qBinomial Coefficients. The Final Problem: A Series Identity from the Lost Notebook. A Family of Identities That Yields aWide Variety of Partition Theorem.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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