Eta Products and Theta Series Identities (Springer Monographs in Mathematics) - Image 1

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Springer Eta Products and Theta Series Identities (Springer Monographs in Mathematics)

Name: Eta Products and Theta Series Identities (Springer Monographs in Mathematics)
Brand: Springer
Price: 74.74 GBP
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Mathematical Theory

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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. The 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 of the book. 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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Brand: Springer
Format: hardcover
ASIN: 3642161510
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Theory
Domain: Amazon UK
Release Date: 08 December 2010
Listed Since: 23 September 2010

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Springer Eta Products and Theta Series Identities (Springer Monographs in Mathematics)

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