The Resource Eta products and theta series identities, Gèunter Kèohler, (electronic resource)

Eta products and theta series identities, Gèunter Kèohler, (electronic resource)

Label
Eta products and theta series identities
Title
Eta products and theta series identities
Statement of responsibility
Gèunter Kèohler
Creator
Subject
Language
eng
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. This 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. --
Member of
Additional physical form
Also available in print
Cataloging source
OCoLC
Dewey number
515/.984
Index
index present
LC call number
QA345
LC item number
.K64 2011
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer monographs in mathematics
Label
Eta products and theta series identities, Gèunter Kèohler, (electronic resource)
Publication
Bibliography note
Includes bibliographical references (p. 611-618) and index
http://library.link/vocab/branchCode
  • net
Color
multicolored
Contents
pt. 1. Theoretical background -- pt. 2. Examples
Control code
000048720040
Dimensions
unknown
Extent
1 online resource (xxi, 621 p.)
Isbn
9783642161513
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-16151-3
http://library.link/vocab/recordID
.b27160701
Specific material designation
remote
System control number
  • (OCoLC)701369505
  • springer3642161529
System details
  • Mode of access: World Wide Web
  • System requirements: Internet connectivity, World Wide Web browser, and Adobe Acrobat reader

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
Processing Feedback ...