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" Eta products and theta series identities / "
Günter Köhler.
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BL
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| Record Number
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1033978
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b788348
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| Main Entry
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Köhler, Günter,1940-
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| Title & Author
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Eta products and theta series identities /\ Günter Köhler.
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| Publication Statement
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Heidelberg ;New York :: Springer,, ©2011.
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, ©2011
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| Series Statement
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Springer monographs in mathematics
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| Page. NO
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1 online resource (xxi, 621 pages)
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| ISBN
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3642161510
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: 3642161529
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: 9783642161513
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: 9783642161520
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9783642161513
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| Bibliographies/Indexes
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Includes bibliographical references (pages 611-618) and index.
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| Contents
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pt. 1. Theoretical background -- pt. 2. Examples.
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| Abstract
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This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with "Eisenstein series." The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere. This book will be of interest to graduate students and scholars in the field of number theory and, in particular, modular forms. It is not an introductory text in this field. Nevertheless, some theoretical background material is presented that is important for understanding the examples in Part II. In Part I relevant definitions and essential theorems -- such as a complete proof of the structure theorems for coprime residue class groups in quadratic number fields that are not easily accessible in the literature -- are provided. Another example is a thorough description of an algorithm for listing all eta products of given weight and level, together with proofs of some results on the bijection between these eta products and lattice simplices. --
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| Subject
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Forms, Modular.
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Number theory.
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Series, Theta.
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Forms, Modular.
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MATHEMATICS-- Complex Analysis.
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Number theory.
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Series, Theta.
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Mathematics.
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Algebraic Topology.
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Number Theory.
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| Dewey Classification
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515/.984
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| LC Classification
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QA345.K64 2011
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