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



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Autore: Berndt Bruce C. <1939-> Visualizza persona
Titolo: Hecke's theory of modular forms and Dirichlet series [[electronic resource] /] / Bruce C. Berndt, Marvin I. Knopp Visualizza cluster
Pubblicazione: Hacensack, NJ, : World Scientific, c2008
Descrizione fisica: 1 online resource (150 p.)
Disciplina: 515.243
Soggetto topico: Dirichlet series
Forms (Mathematics)
Modular functions
Hecke operators
Altri autori: HeckeErich <1887-1947.>  
KnoppMarvin Isadore <1933->  
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
Titolo autorizzato: Hecke's theory of modular forms and Dirichlet series  Visualizza cluster
ISBN: 1-281-93408-9
9786611934088
981-279-237-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910777032003321
Lo trovi qui: Univ. Federico II
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Serie: Monographs in Number Theory