Eta products and theta series identities
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 pub...
Tallennettuna:
| Päätekijä: | |
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| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2011. |
| Sarja: | Springer Monographs in Mathematics
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| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Description d'après consultation du 18 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Eta products and Theta series identities, Günter Köhler, 2011, Berlin, Springer, 1 vol. (XXI-621 p.), Springer monographs in mathematics, 978-3-642-16151-3 • Eta products and Theta series identities, Günter Köhler, 2011, Berlin, Springer, 1 vol. (XXI-621 p.), Springer monographs in mathematics, 978-3-642-16151-3 • Eta products and Theta series identities, Günter Köhler, 2011, Berlin, Springer, 1 vol. (XXI-621 p.), Springer monographs in mathematics, 978-3-642-16151-3 • Eta Products and Theta Series Identities, Texte imprimé, 9783642161537 |
| Yhteenveto: | 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. |
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| Huomautukset: | Description d'après consultation du 18 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9783642161520 |
| ISSN: | 2196-9922 |
| Pääsy: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |