Springer Proceedings in Mathematics & Statistics

Analytic Number Theory, Modular Forms and q-Hypergeometric Series

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

Editors: Andrews, George E., Garvan, Frank (Eds.)

  • Offers numerous and diverse articles on the latest research in number theory
  • Expands on Krishna Alladi's recent contributions on partitions and q-series
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eBook $219.00
price for USA in USD (gross)
  • ISBN 978-3-319-68376-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
  • ISBN 978-3-319-68375-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 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.


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)

  • Plus-Minus Weighted Zero-Sum Constants: A Survey

    Adhikari, Sukumar Das

    Pages 1-9

  • Vector-valued Modular Forms and the Seventh Order Mock Theta Functions

    Andersen, Nickolas

    Pages 11-23

  • The Alladi–Schur Polynomials and Their Factorization

    Andrews, George E.

    Pages 25-38

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

    Banerjee, Koustav (et al.)

    Pages 39-57

  • Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet L-Functions

    Benli, Kübra (et al.)

    Pages 59-67

Buy this book

eBook $219.00
price for USA in USD (gross)
  • ISBN 978-3-319-68376-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
  • ISBN 978-3-319-68375-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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 Volume
221
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-68376-8
DOI
10.1007/978-3-319-68376-8
Hardcover ISBN
978-3-319-68375-1
Series ISSN
2194-1009
Edition Number
1
Number of Pages
L, 736
Number of Illustrations and Tables
56 b/w illustrations, 11 illustrations in colour
Topics