Hecke's theory of modular forms and Dirichlet series /:
In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in 1936...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hacensack, NJ :
World Scientific,
2008.
|
| Schriftenreihe: | Monographs in number theory.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in 1936 when Hecke published his original papers. This book is an amplified and up-to-date version of the former author's lectures at the University of Illinois at Urbana-Champaign, based on Hecke's notes. Providing many details omitted from Hecke's notes, it includes various new and important developments. |
| Beschreibung: | Expanded version of lecture notes by B. Berndt based in turn on a series of lectures given by Erich Hecke in 1938. |
| Beschreibung: | 1 online resource (ix, 137 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 129-134) and index. |
| ISBN: | 9789812792372 9812792376 1281934089 9781281934086 9786611934088 6611934081 |
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| 245 | 1 | 0 | |a Hecke's theory of modular forms and Dirichlet series / |c Bruce C. Berndt, Marvin I. Knopp. |
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| 490 | 1 | |a Monographs in Number Theory | |
| 500 | |a Expanded version of lecture notes by B. Berndt based in turn on a series of lectures given by Erich Hecke in 1938. | ||
| 504 | |a Includes bibliographical references (pages 129-134) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 1. Introduction -- 2. The main correspondence theorem -- 3. A fundamental region -- 4. The case [symbol]> 2 -- 5. The case [symbol] <2 -- 6. The case [symbol] = 2 -- 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results -- 8. Identities equivalent to the functional equation and to the modular relation. | |
| 520 | |a In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in 1936 when Hecke published his original papers. This book is an amplified and up-to-date version of the former author's lectures at the University of Illinois at Urbana-Champaign, based on Hecke's notes. Providing many details omitted from Hecke's notes, it includes various new and important developments. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Dirichlet series. |0 http://id.loc.gov/authorities/subjects/sh85120239 | |
| 650 | 0 | |a Forms (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85050839 | |
| 650 | 0 | |a Modular functions. |0 http://id.loc.gov/authorities/subjects/sh85052344 | |
| 650 | 0 | |a Hecke operators. |0 http://id.loc.gov/authorities/subjects/sh85059897 | |
| 650 | 6 | |a Séries de Dirichlet. | |
| 650 | 6 | |a Formes (Mathématiques) | |
| 650 | 6 | |a Fonctions modulaires. | |
| 650 | 6 | |a Opérateurs de Hecke. | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
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| 650 | 7 | |a Modular functions |2 fast | |
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| author | Berndt, Bruce C., 1939- |
| author2 | Hecke, Erich, 1887-1947 Knopp, Marvin Isadore, 1933- |
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| contents | 1. Introduction -- 2. The main correspondence theorem -- 3. A fundamental region -- 4. The case [symbol]> 2 -- 5. The case [symbol] <2 -- 6. The case [symbol] = 2 -- 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results -- 8. Identities equivalent to the functional equation and to the modular relation. |
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| id | ZDB-4-EBA-ocn262621064 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:33Z |
| institution | BVB |
| isbn | 9789812792372 9812792376 1281934089 9781281934086 9786611934088 6611934081 |
| language | English |
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| series | Monographs in number theory. |
| series2 | Monographs in Number Theory |
| spelling | Berndt, Bruce C., 1939- https://id.oclc.org/worldcat/entity/E39PBJmxYVjQ9dQJH3CTFb7rbd http://id.loc.gov/authorities/names/n83126068 Hecke's theory of modular forms and Dirichlet series / Bruce C. Berndt, Marvin I. Knopp. Hacensack, NJ : World Scientific, 2008. 1 online resource (ix, 137 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Monographs in Number Theory Expanded version of lecture notes by B. Berndt based in turn on a series of lectures given by Erich Hecke in 1938. Includes bibliographical references (pages 129-134) and index. Print version record. 1. Introduction -- 2. The main correspondence theorem -- 3. A fundamental region -- 4. The case [symbol]> 2 -- 5. The case [symbol] <2 -- 6. The case [symbol] = 2 -- 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results -- 8. Identities equivalent to the functional equation and to the modular relation. In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in 1936 when Hecke published his original papers. This book is an amplified and up-to-date version of the former author's lectures at the University of Illinois at Urbana-Champaign, based on Hecke's notes. Providing many details omitted from Hecke's notes, it includes various new and important developments. English. Dirichlet series. http://id.loc.gov/authorities/subjects/sh85120239 Forms (Mathematics) http://id.loc.gov/authorities/subjects/sh85050839 Modular functions. http://id.loc.gov/authorities/subjects/sh85052344 Hecke operators. http://id.loc.gov/authorities/subjects/sh85059897 Séries de Dirichlet. Formes (Mathématiques) Fonctions modulaires. Opérateurs de Hecke. MATHEMATICS Infinity. bisacsh Dirichlet series fast Forms (Mathematics) fast Hecke operators fast Modular functions fast Hecke, Erich, 1887-1947. https://id.oclc.org/worldcat/entity/E39PBJvhqv8dKVbPV9t7Fmh8md http://id.loc.gov/authorities/names/n81012257 Knopp, Marvin Isadore, 1933- https://id.oclc.org/worldcat/entity/E39PBJrCfbc4XGyCHTwTJkTfv3 http://id.loc.gov/authorities/names/n82012315 has work: Hecke's theory of modular forms and Dirichlet series (Text) https://id.oclc.org/worldcat/entity/E39PCGy43QMtc7dmqhfDP7xPw3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Berndt, Bruce C., 1939- Hecke's theory of modular forms and Dirichlet series. Hacensack, NJ : World Scientific, 2008 9812706356 9789812706355 (DLC) 2008530715 (OCoLC)171111118 Monographs in number theory. http://id.loc.gov/authorities/names/no2009064241 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236052 Volltext |
| spellingShingle | Berndt, Bruce C., 1939- Hecke's theory of modular forms and Dirichlet series / Monographs in number theory. 1. Introduction -- 2. The main correspondence theorem -- 3. A fundamental region -- 4. The case [symbol]> 2 -- 5. The case [symbol] <2 -- 6. The case [symbol] = 2 -- 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results -- 8. Identities equivalent to the functional equation and to the modular relation. Dirichlet series. http://id.loc.gov/authorities/subjects/sh85120239 Forms (Mathematics) http://id.loc.gov/authorities/subjects/sh85050839 Modular functions. http://id.loc.gov/authorities/subjects/sh85052344 Hecke operators. http://id.loc.gov/authorities/subjects/sh85059897 Séries de Dirichlet. Formes (Mathématiques) Fonctions modulaires. Opérateurs de Hecke. MATHEMATICS Infinity. bisacsh Dirichlet series fast Forms (Mathematics) fast Hecke operators fast Modular functions fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85120239 http://id.loc.gov/authorities/subjects/sh85050839 http://id.loc.gov/authorities/subjects/sh85052344 http://id.loc.gov/authorities/subjects/sh85059897 |
| title | Hecke's theory of modular forms and Dirichlet series / |
| title_auth | Hecke's theory of modular forms and Dirichlet series / |
| title_exact_search | Hecke's theory of modular forms and Dirichlet series / |
| title_full | Hecke's theory of modular forms and Dirichlet series / Bruce C. Berndt, Marvin I. Knopp. |
| title_fullStr | Hecke's theory of modular forms and Dirichlet series / Bruce C. Berndt, Marvin I. Knopp. |
| title_full_unstemmed | Hecke's theory of modular forms and Dirichlet series / Bruce C. Berndt, Marvin I. Knopp. |
| title_short | Hecke's theory of modular forms and Dirichlet series / |
| title_sort | hecke s theory of modular forms and dirichlet series |
| topic | Dirichlet series. http://id.loc.gov/authorities/subjects/sh85120239 Forms (Mathematics) http://id.loc.gov/authorities/subjects/sh85050839 Modular functions. http://id.loc.gov/authorities/subjects/sh85052344 Hecke operators. http://id.loc.gov/authorities/subjects/sh85059897 Séries de Dirichlet. Formes (Mathématiques) Fonctions modulaires. Opérateurs de Hecke. MATHEMATICS Infinity. bisacsh Dirichlet series fast Forms (Mathematics) fast Hecke operators fast Modular functions fast |
| topic_facet | Dirichlet series. Forms (Mathematics) Modular functions. Hecke operators. Séries de Dirichlet. Formes (Mathématiques) Fonctions modulaires. Opérateurs de Hecke. MATHEMATICS Infinity. Dirichlet series Hecke operators Modular functions |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236052 |
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