1.

Record Nr.

UNINA9910777032003321

Autore

Berndt Bruce C. <1939->

Titolo

Hecke's theory of modular forms and Dirichlet series [[electronic resource] /] / Bruce C. Berndt, Marvin I. Knopp

Pubbl/distr/stampa

Hacensack, NJ, : World Scientific, c2008

ISBN

1-281-93408-9

9786611934088

981-279-237-6

Descrizione fisica

1 online resource (150 p.)

Collana

Monographs in Number Theory

Altri autori (Persone)

HeckeErich <1887-1947.>

KnoppMarvin Isadore <1933->

Disciplina

515.243

Soggetti

Dirichlet series

Forms (Mathematics)

Modular functions

Hecke operators

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Expanded version of lecture notes by B. Berndt based in turn on a series of lectures given by Erich Hecke in 1938.

Nota di bibliografia

Includes bibliographical references (p. 129-134) and index.

Nota di contenuto

Preface in Two Acts with a Prelude, Interlude, and Postlude; Contents; 1. Introduction; 2. The main correspondence theorem; 3. A fundamental region; 4. The case   > 2; 5. The case   < 2; 6. The case   = 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; Bibliography; Index

Sommario/riassunto

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