Elliptic Functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1987
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Graduate Texts in Mathematics
112 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic |
| Beschreibung: | 1 Online-Ressource (XII, 328 p) |
| ISBN: | 9781461247524 9781461291428 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-4752-4 |
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Datensatz im Suchindex
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4752-4 |
| edition | Second Edition |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461247524 9781461291428 |
| issn | 0072-5285 |
| language | English |
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| oclc_num | 863742485 |
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| physical | 1 Online-Ressource (XII, 328 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Graduate Texts in Mathematics |
| spelling | Lang, Serge Verfasser aut Elliptic Functions by Serge Lang Second Edition New York, NY Springer New York 1987 1 Online-Ressource (XII, 328 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 112 0072-5285 Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic Mathematics Global analysis (Mathematics) Analysis Mathematik Elliptische Funktion (DE-588)4134665-8 gnd rswk-swf Elliptische Funktion (DE-588)4134665-8 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-4752-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lang, Serge Elliptic Functions Mathematics Global analysis (Mathematics) Analysis Mathematik Elliptische Funktion (DE-588)4134665-8 gnd |
| subject_GND | (DE-588)4134665-8 |
| title | Elliptic Functions |
| title_auth | Elliptic Functions |
| title_exact_search | Elliptic Functions |
| title_full | Elliptic Functions by Serge Lang |
| title_fullStr | Elliptic Functions by Serge Lang |
| title_full_unstemmed | Elliptic Functions by Serge Lang |
| title_short | Elliptic Functions |
| title_sort | elliptic functions |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Elliptische Funktion (DE-588)4134665-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Elliptische Funktion |
| url | https://doi.org/10.1007/978-1-4612-4752-4 |
| work_keys_str_mv | AT langserge ellipticfunctions |