Hecke's Theory Of Modular Forms And Dirichlet Series (2nd Printing And Revisions)
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A01=Bruce C Berndt
A01=Marvin I Knopp
Author_Bruce C Berndt
Author_Marvin I Knopp
Automorphic Forms
Category=PBH
Dirichlet Series
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Functional Equations
Hecke Correspondence
Hecke Groups
Modular Forms
Modular Relations
Theta Functions
Product details
- ISBN 9789812706355
- Publication Date: 07 Jan 2008
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in 1936 when Hecke published his original papers.This book is an amplified and up-to-date version of the former 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.
