Eta Products and Theta Series Identities is popular PDF and ePub book, written by Günter Köhler in 2011-01-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Eta Products and Theta Series Identities can be Read Online from any device for your convenience.
Eta Products and Theta Series Identities Book PDF Summary
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.
Detail Book of Eta Products and Theta Series Identities PDF
- Author : Günter Köhler
- Release : 15 January 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783642161520
- Genre : Mathematics
- Total Page : 627 pages
- Language : English
- PDF File Size : 18,6 Mb
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