Elliptische Funktionen und Modulformen by Max Koecher

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Summary

Der Teil über elliptische Modulformen ist auch separat lesbar und enthält neben Fundamentalbereichen und Dimensionsbestimmung auch ein Kapitel über Hecke-Operatoren und Dirichlet-Reihen mit Funktionalgleichung.

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Elliptische Funktionen und Modulformen by Max Koecher

Den Autoren gelingt ein Bruckenschlag von den Grundlagen zur aktuellen Forschung. Ausgehend von den Weierstrassschen Arbeiten behandeln sie elliptische Kurven und komplexe Multiplikation. Erstmals in Lehrbuchform wird ein Beweis des Siegelschen Hauptsatzes fur elliptische Modulformen gegeben.

From the reviews of the second edition:

The book under review is the basically unaltered second edition of the original, whose popularity at German-speaking universities has grown continually over the past decade... Altogether, the present second edition of this well-established, highly cultured textbook on elliptic functions and modular forms comes with ... remarkable and appropriate improvements, amplifications, and up-datings. ... this text breathes the inimitable spirit of the late Max Koecher, a great mathematical researcher and teacher, and his co-author's effort at communicating and preserving it must be highly acknowledged. (Werner Kleinert, Zentralblatt MATH, Vol. 1129 (7), 2008)

The book provides an introduction to elliptic functions ... . The presentation is excellent: the book always carefully lays the foundations and from there proceeds to substantial results ... while always giving complete arguments. (J. Mahnkopf, Monatshefte fur Mathematik, Vol. 156 (3), March, 2009)

SKU Unavailable
ISBN 13 9783540493242
ISBN 10 3540493247
Title Elliptische Funktionen und Modulformen
Author Max Koecher
Series Masterclass
Condition Unavailable
Binding Type Paperback
Publisher Springer
Year published 2007-03-19
Number of pages 331
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.