Analytic Number Theory, Modular Forms and qHypergeometric Series
In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016
Editors: Andrews, George, Garvan, Frank (Eds.)
Free Preview Offers numerous and diverse articles on the latest research in number theory
 Expands on Krishna Alladi's recent contributions on partitions and qseries
Buy this book
 About this book

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 pathbreaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and qseries 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 qseries identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory.
 About the authors

Frank Garvan is a professor of Mathematics at the University of Florida. His research interests are in Number Theory, Basic Hypergeometric Series and Symbolic Computation. George Andrews is the Evan Pugh University Professor in Mathematics at Penn State University. His research interests are Number Theory and Partitions.
 Table of contents (40 chapters)


PlusMinus Weighted ZeroSum Constants: A Survey
Pages 19

Vectorvalued Modular Forms and the Seventh Order Mock Theta Functions
Pages 1123

The Alladi–Schur Polynomials and Their Factorization
Pages 2538

New Representations for $$\sigma (q)$$ via Reciprocity Theorems
Pages 3957

Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet LFunctions
Pages 5967

Table of contents (40 chapters)
Recommended for you
Bibliographic Information
 Bibliographic Information

 Book Title
 Analytic Number Theory, Modular Forms and qHypergeometric Series
 Book Subtitle
 In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016
 Editors

 George Andrews
 Frank Garvan
 Series Title
 Springer Proceedings in Mathematics & Statistics
 Series Volume
 221
 Copyright
 2017
 Publisher
 Springer International Publishing
 Copyright Holder
 Springer International Publishing AG
 eBook ISBN
 9783319683768
 DOI
 10.1007/9783319683768
 Hardcover ISBN
 9783319683751
 Softcover ISBN
 9783319885926
 Series ISSN
 21941009
 Edition Number
 1
 Number of Pages
 L, 736
 Number of Illustrations
 56 b/w illustrations, 11 illustrations in colour
 Topics