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Hecke's theory of modular forms and dirichlet series

By: Contributor(s): Material type: TextTextLanguage: English Publication details: New Jersey World Scientific Publishing Co. Pte. Ltd 2008Description: ix, 137pISBN:
  • 9789812706355 (HB)
Subject(s):
Contents:
1. Introduction 2. The main correspondence theorem 3. A fundamental region 4. The case [symbol]> 2 5. The case [symbol] <2 6. The case [symbol] = 2 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results 8. Identities equivalent to the functional equation and to the modular relation
Summary: 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.
Item type: BOOKS
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Current library Home library Call number Materials specified Status Date due Barcode
IMSc Library IMSc Library 511.38 BER (Browse shelf(Opens below)) Available 61318

Includes index.

Includes bibliography (p. 129-134)

1. Introduction
2. The main correspondence theorem
3. A fundamental region
4. The case [symbol]> 2
5. The case [symbol] <2
6. The case [symbol] = 2
7. Bochner's generalization of the main correspondence theorem of Hecke, and related results
8. Identities equivalent to the functional equation and to the modular relation

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.

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The Institute of Mathematical Sciences, Chennai, India