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Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	Januar 2013
Genre:	Schulbücher
	Algebraic Topology / B / Mathematics and Statistics / Number Theory
ISBN:	9783642266294
EAN-Code:	9783642266294
Verlag:	Springer Nature EN
Einband:	Kartoniert
Sprache:	English
Serie:	Springer Monographs in Mathematics
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	973 gr
Seiten:	622
Zus. Info:	Previously published in hardcover
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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. 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.