© 2017

Analytic Number Theory, Modular Forms and q-Hypergeometric Series

In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016

  • George E. Andrews
  • Frank Garvan
  • Offers numerous and diverse articles on the latest research in number theory

  • Expands on Krishna Alladi's recent contributions on partitions and q-series

Conference proceedings ALLADI60 2016

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 221)

Table of contents

  1. Front Matter
    Pages i-l
  2. Sukumar Das Adhikari
    Pages 1-9
  3. Koustav Banerjee, Atul Dixit
    Pages 39-57
  4. Jonathan M. Borwein
    Pages 123-138
  5. William Y. C. Chen, Kathy Q. Ji, Wenston J. T. Zang
    Pages 157-177
  6. Shaun Cooper, James G. Wan, Wadim Zudilin
    Pages 179-205
  7. Jean-Marc Deshouillers, Georges Grekos
    Pages 207-212
  8. Michael D. Hirschhorn
    Pages 311-328
  9. Abhash Kumar Jha, Arvind Kumar
    Pages 329-341

About these proceedings


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 this volume a valuable resource on new developments in various aspects of number theory.


Number Theory Mock Modular Forms Partitions Linear Equations Algebraic Number Theory q-series modular forms Ramanujan analytic number theory probabilistic number theory Krishna Alladi partitions Basic Hypergeometric functions krishnaswami alladi Krishna Alladi Krishnaswami Alladi's 60th birthday

Editors and affiliations

  • George E. Andrews
    • 1
  • Frank Garvan
    • 2
  1. 1.Department of MathematicsPennsylvania State UniversityState CollegeUSA
  2. 2.Department of MathematicsUniversity of FloridaGainesvilleUSA

About the editors

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.

Bibliographic information

  • Book Title Analytic Number Theory, Modular Forms and q-Hypergeometric Series
  • Book Subtitle In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016
  • Editors George E. Andrews
    Frank Garvan
  • Series Title Springer Proceedings in Mathematics & Statistics
  • Series Abbreviated Title Springer Proceedings in Mathematics & Statistics
  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-68375-1
  • Softcover ISBN 978-3-319-88592-6
  • eBook ISBN 978-3-319-68376-8
  • Series ISSN 2194-1009
  • Series E-ISSN 2194-1017
  • Edition Number 1
  • Number of Pages L, 736
  • Number of Illustrations 56 b/w illustrations, 11 illustrations in colour
  • Topics Number Theory
  • Buy this book on publisher's site