Surveys in Number Theory.
Title:
Surveys in Number Theory.
Author:
Alladi, Krishnaswami.
ISBN:
9780387785103
Personal Author:
Physical Description:
1 online resource (192 pages)
Series:
Developments in Mathematics, 17 ; v.v. 17
Developments in Mathematics, 17
Contents:
Contents -- Preface -- 1 A Survey of Multipartitions: Congruences and Identities -- George E. Andrews -- 2 Koshliakov's Formula and Guinand's Formula in Ramanujan's Lost Notebook -- Bruce C. Berndt1,*, Yoonbok Lee2, and Jaebum Sohn3,** -- 3 Exploiting Symmetries: Alternating-Sign Matrices and the Weyl Character Formulas -- David M. Bressoud -- 4 Theta Functions in Complex Analysis and Number Theory -- Hershel M. Farkas -- 5 Inverse Problems for Representation Functions in Additive Number Theory -- Melvyn B. Nathanson -- 6 Mock Theta Functions, Ranks, and Maass Forms -- Ken Ono -- 7 Elliptic Functions and Transcendence -- Michel Waldschmidt.
Abstract:
Contains chapters on number theory and related topics. This title covers topics that focus on multipartitions, congruences and identities, the formulas of Koshliakov and Guinand in Ramanujan's "Lost Notebook", alternating sign matrices and the Weyl character formulas, theta functions in complex analysis, and elliptic functions.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
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