Elliptic and modular functions: from Gauss to Dedekind to Hecke
This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting w...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 21 Apr 2017) |
| Beschreibung: | 1 online resource (xiii, 475 pages) |
| ISBN: | 9781316671504 |
| DOI: | 10.1017/9781316671504 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1017/9781316671504 |
| era | Geschichte gnd |
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| format | Electronic eBook |
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| id | DE-604.BV044369281 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:51:01Z |
| institution | BVB |
| isbn | 9781316671504 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029771731 |
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| physical | 1 online resource (xiii, 475 pages) |
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| publisher | Cambridge University Press |
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| spelling | Roy, Ranjan 1948- Verfasser aut Elliptic and modular functions from Gauss to Dedekind to Hecke Ranjan Roy, Beloit College Cambridge Cambridge University Press 2017 1 online resource (xiii, 475 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 21 Apr 2017) This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area Geschichte gnd rswk-swf Elliptic functions Modular functions Functions Elliptische Funktion (DE-588)4134665-8 gnd rswk-swf Modulfunktion (DE-588)4039855-9 gnd rswk-swf Elliptische Funktion (DE-588)4134665-8 s Modulfunktion (DE-588)4039855-9 s Geschichte z DE-604 Erscheint auch als Druck-Ausgabe, hardback 978-1-107-15938-9 https://doi.org/10.1017/9781316671504 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Roy, Ranjan 1948- Elliptic and modular functions from Gauss to Dedekind to Hecke Elliptic functions Modular functions Functions Elliptische Funktion (DE-588)4134665-8 gnd Modulfunktion (DE-588)4039855-9 gnd |
| subject_GND | (DE-588)4134665-8 (DE-588)4039855-9 |
| title | Elliptic and modular functions from Gauss to Dedekind to Hecke |
| title_auth | Elliptic and modular functions from Gauss to Dedekind to Hecke |
| title_exact_search | Elliptic and modular functions from Gauss to Dedekind to Hecke |
| title_full | Elliptic and modular functions from Gauss to Dedekind to Hecke Ranjan Roy, Beloit College |
| title_fullStr | Elliptic and modular functions from Gauss to Dedekind to Hecke Ranjan Roy, Beloit College |
| title_full_unstemmed | Elliptic and modular functions from Gauss to Dedekind to Hecke Ranjan Roy, Beloit College |
| title_short | Elliptic and modular functions |
| title_sort | elliptic and modular functions from gauss to dedekind to hecke |
| title_sub | from Gauss to Dedekind to Hecke |
| topic | Elliptic functions Modular functions Functions Elliptische Funktion (DE-588)4134665-8 gnd Modulfunktion (DE-588)4039855-9 gnd |
| topic_facet | Elliptic functions Modular functions Functions Elliptische Funktion Modulfunktion |
| url | https://doi.org/10.1017/9781316671504 |
| work_keys_str_mv | AT royranjan ellipticandmodularfunctionsfromgausstodedekindtohecke |