Modular forms and functions:
This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and t...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1977
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and the Fourier coefficients frequently possess multiplicative properties which lead to a correspondence between modular forms and Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for example in the study of the number of ways in which a positive integer may be expressed as a sum of a given number of squares. The treatment of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to modular forms of integral weight (dimension). It will be of interest to professional mathematicians as well as senior undergraduate and graduate students in pure mathematics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiii, 384 pages) |
| ISBN: | 9780511566035 |
| DOI: | 10.1017/CBO9780511566035 |
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| 100 | 1 | |a Rankin, Robert A. |d 1915- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Modular forms and functions |c Robert A. Rankin |
| 246 | 1 | 3 | |a Modular Forms & Functions |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1977 | |
| 300 | |a 1 online resource (xiii, 384 pages) | ||
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and the Fourier coefficients frequently possess multiplicative properties which lead to a correspondence between modular forms and Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for example in the study of the number of ways in which a positive integer may be expressed as a sum of a given number of squares. The treatment of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to modular forms of integral weight (dimension). It will be of interest to professional mathematicians as well as senior undergraduate and graduate students in pure mathematics | ||
| 650 | 4 | |a Forms, Modular | |
| 650 | 4 | |a Modular functions | |
| 650 | 0 | 7 | |a Automorphe Funktion |0 (DE-588)4143706-8 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Modulform |0 (DE-588)4128299-1 |2 gnd |9 rswk-swf |
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| 689 | 2 | |8 3\p |5 DE-604 | |
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Datensatz im Suchindex
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| author | Rankin, Robert A. 1915- |
| author_facet | Rankin, Robert A. 1915- |
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| author_sort | Rankin, Robert A. 1915- |
| author_variant | r a r ra rar |
| building | Verbundindex |
| bvnumber | BV043945796 |
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| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511566035 (OCoLC)992849103 (DE-599)BVBBV043945796 |
| dewey-full | 512.9/44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/44 |
| dewey-search | 512.9/44 |
| dewey-sort | 3512.9 244 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511566035 |
| format | Electronic eBook |
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| id | DE-604.BV043945796 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511566035 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354767 |
| oclc_num | 992849103 |
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| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiii, 384 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1977 |
| publishDateSearch | 1977 |
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| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Rankin, Robert A. 1915- Verfasser aut Modular forms and functions Robert A. Rankin Modular Forms & Functions Cambridge Cambridge University Press 1977 1 online resource (xiii, 384 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier series, and the Fourier coefficients frequently possess multiplicative properties which lead to a correspondence between modular forms and Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for example in the study of the number of ways in which a positive integer may be expressed as a sum of a given number of squares. The treatment of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to modular forms of integral weight (dimension). It will be of interest to professional mathematicians as well as senior undergraduate and graduate students in pure mathematics Forms, Modular Modular functions Automorphe Funktion (DE-588)4143706-8 gnd rswk-swf Modulfunktion (DE-588)4039855-9 gnd rswk-swf Modulform (DE-588)4128299-1 gnd rswk-swf Modulform (DE-588)4128299-1 s 1\p DE-604 Modulfunktion (DE-588)4039855-9 s 2\p DE-604 Automorphe Funktion (DE-588)4143706-8 s 3\p DE-604 Erscheint auch als Druckausgabe 978-0-521-09168-8 Erscheint auch als Druckausgabe 978-0-521-21212-0 https://doi.org/10.1017/CBO9780511566035 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rankin, Robert A. 1915- Modular forms and functions Forms, Modular Modular functions Automorphe Funktion (DE-588)4143706-8 gnd Modulfunktion (DE-588)4039855-9 gnd Modulform (DE-588)4128299-1 gnd |
| subject_GND | (DE-588)4143706-8 (DE-588)4039855-9 (DE-588)4128299-1 |
| title | Modular forms and functions |
| title_alt | Modular Forms & Functions |
| title_auth | Modular forms and functions |
| title_exact_search | Modular forms and functions |
| title_full | Modular forms and functions Robert A. Rankin |
| title_fullStr | Modular forms and functions Robert A. Rankin |
| title_full_unstemmed | Modular forms and functions Robert A. Rankin |
| title_short | Modular forms and functions |
| title_sort | modular forms and functions |
| topic | Forms, Modular Modular functions Automorphe Funktion (DE-588)4143706-8 gnd Modulfunktion (DE-588)4039855-9 gnd Modulform (DE-588)4128299-1 gnd |
| topic_facet | Forms, Modular Modular functions Automorphe Funktion Modulfunktion Modulform |
| url | https://doi.org/10.1017/CBO9780511566035 |
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