Overview
- This monograph brings to the public the large number of identities which were found during the past 20 years
- The majority of these identities is new and has not been published elsewhere
- Presents more than hundred examples for the coincidence of theta series of weight 1 on three distinct quadratic fields
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (31 chapters)
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Examples
Reviews
From the reviews:
“This monograph serves as a leading reference on the theory of eta products and theta series identities. The systematic approach to the theory of modular forms in general and eta products in particular makes it a reader-friendly monograph for those who have basic knowledge about the theory.” (Wissam Raji, Mathematical Reviews, Issue 2012 a)
“In the book under review mainly a highly interesting special class of theta functions is investigated, the class of Hecke theta series for quadratic number fields. … Most of the identities in the later sections of this monograph are supposed to be new. Clearly this is a most valuable addition to the literature on modular forms, and the modular forms people must be most grateful to the author for his fine achievement.” (Jürgen Elstrodt, Zentralblatt MATH, Vol. 1222, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Eta Products and Theta Series Identities
Authors: Günter Köhler
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-642-16152-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Hardcover ISBN: 978-3-642-16151-3Published: 08 December 2010
Softcover ISBN: 978-3-642-26629-4Published: 27 January 2013
eBook ISBN: 978-3-642-16152-0Published: 15 January 2011
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XXII, 622
Topics: Number Theory, Algebraic Topology