Eta Products and Theta Series Identities (Hardcover, 2011 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Monographs in Mathematics
Release date:	December 2010
First published:	2011
Authors:	Gunter Koehler
Dimensions:	235 x 155 x 43mm (L x W x T)
Format:	Hardcover
Pages:	622
Edition:	2011 ed.
ISBN-13:	978-3-642-16151-3
Categories:	Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-642-16151-0
Barcode:	9783642161513

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