Detailansicht
Eta Products and Theta Series Identities
eBook - Springer Monographs in Mathematics
ISBN/EAN: 9783642161520
Umbreit-Nr.: 1705821
Sprache:
Englisch
Umfang: 622 S., 6.57 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 15.01.2011
Auflage: 1/2011
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- 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.
- Kurztext
- This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with Eisenstein series. The author presents a large number of identities, the majority of which have not been published elsewhere.