Editors:
Offers numerous and diverse articles on the latest research in number theory
Expands on Krishna Alladi's recent contributions on partitions and q-series
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 221)
Conference series link(s): ALLADI60: Gainesville International Number Theory Conference
Conference proceedings info: ALLADI60 2016.
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Table of contents (40 papers)
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Front Matter
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.
Keywords
- 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
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Department of Mathematics, Pennsylvania State University, State College, USA
George E. Andrews
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Department of Mathematics, University of Florida, Gainesville, USA
Frank Garvan
About the editors
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
DOI: https://doi.org/10.1007/978-3-319-68376-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-68375-1Published: 04 February 2018
Softcover ISBN: 978-3-319-88592-6Published: 06 June 2019
eBook ISBN: 978-3-319-68376-8Published: 01 February 2018
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