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

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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Dieses Buch kaufen

eBook 139,09 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-68376-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 246,09 €
Preis für Deutschland (Brutto)
Softcover 176,54 €
Preis für Deutschland (Brutto)
Über dieses Buch

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

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)

Inhaltsverzeichnis (40 Kapitel)
  • Plus-Minus Weighted Zero-Sum Constants: A Survey

    Seiten 1-9

    Adhikari, Sukumar Das

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

    Seiten 11-23

    Andersen, Nickolas

  • The Alladi–Schur Polynomials and Their Factorization

    Seiten 25-38

    Andrews, George E.

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

    Seiten 39-57

    Banerjee, Koustav (et al.)

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

    Seiten 59-67

    Benli, Kübra (et al.)

Dieses Buch kaufen

eBook 139,09 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-68376-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 246,09 €
Preis für Deutschland (Brutto)
Softcover 176,54 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
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