Analytic Number Theory, Modular Forms and q-Hypergeometric Series : In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016. 1st ed. 2017

種類:

電子ブック

責任表示:

edited by George E. Andrews, Frank Garvan

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Andrews, George E.
• Garvan, Frank.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 221

ISBN:

9783319683768 [3319683764]    

注記:

Preface -- List of Participants -- Plus-Minus Weighted Zero-Sum Constants: A Survey.- Vector-valued Modular Forms and the Seventh Order Mock Theta Functions.- The Alladi-Schur 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 L-Functions.- 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.- Three-Colored 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 Rudin-Shapiro Pol
Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory.  Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find thi

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