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Hecke's theory of modular forms and Dirichlet series

Author: Bruce C Berndt; Erich Hecke; Marvin Isadore Knopp
Publisher: Sinigapore ; Hackensack, NJ : World Scientific, ©2008.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
This book is an amplified and up-to-date version of the first named author's lectures at the University of Illinois at Urbana-Champaign, based on Hecke's notes. Providing many details omitted from Hecke's notes, it includes various new and important developments in recent years. In particular, several generalizations and analogues of the original Hecke theory are briefly described in this concise volume.
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Document Type: Book
All Authors / Contributors: Bruce C Berndt; Erich Hecke; Marvin Isadore Knopp
ISBN: 9812706356 9789812706355
OCLC Number: 171111118
Notes: Expanded version of lecture notes by B. Berndt based in turn on a series of lectures given by Erich Hecke in 1938.
Description: ix, 137 pages : illustrations ; 24 cm
Contents: The Main Correspondence Theorem; A Fundamental Region; The Case ??? > 2; The Case ??? < 2; The Case ??? = 2; Bochner's Generalization of the Main Correspondence Theorem of Hecke and Related Results; Identities Equivalent to the Functional Equation and to the Modular Relation.
Responsibility: Bruce C. Berndt, Marvin I. Knopp.

Abstract:

In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. This book presents his lectures at the  Read more...

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