Analytic Number Theory, Modular Forms and q-Hypergeometric Series
In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016
Herausgeber: Andrews, George, Garvan, Frank (Eds.)
Vorschau- 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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- Über dieses Buch
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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.
- Über die Autor*innen
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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.
- Inhaltsverzeichnis (40 Kapitel)
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Plus-Minus Weighted Zero-Sum Constants: A Survey
Seiten 1-9
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Vector-valued Modular Forms and the Seventh Order Mock Theta Functions
Seiten 11-23
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The Alladi–Schur Polynomials and Their Factorization
Seiten 25-38
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New Representations for $$\sigma (q)$$ via Reciprocity Theorems
Seiten 39-57
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Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet L-Functions
Seiten 59-67
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Inhaltsverzeichnis (40 Kapitel)
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Bibliografische Information
- Bibliographic Information
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- Buchtitel
- Analytic Number Theory, Modular Forms and q-Hypergeometric Series
- Buchuntertitel
- In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016
- Herausgeber
-
- George Andrews
- Frank Garvan
- Titel der Buchreihe
- Springer Proceedings in Mathematics & Statistics
- Buchreihen Band
- 221
- Copyright
- 2017
- Verlag
- Springer International Publishing
- Copyright Inhaber
- 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
- Softcover ISBN
- 978-3-319-88592-6
- Buchreihen ISSN
- 2194-1009
- Auflage
- 1
- Seitenzahl
- L, 736
- Anzahl der Bilder
- 56 schwarz-weiß Abbildungen, 11 Abbildungen in Farbe
- Themen
