Elliptic Functions and Modular Forms
The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. In this textbook, the authors successfully bridge foundational concepts and advanced material. Following Weierstrass’s approach to elliptic functions, they also cover elliptic curves an...
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| 主要な著者: | , |
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| 団体著者: | |
| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2025.
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| 版: | 1st ed. 2025. |
| シリーズ: | Universitext,
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-662-71224-5 |
| タグ: |
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| 要約: | The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. In this textbook, the authors successfully bridge foundational concepts and advanced material. Following Weierstrass’s approach to elliptic functions, they also cover elliptic curves and complex multiplication. The sections on modular forms, which can be read independently, include discussions of Hecke operators and Dirichlet series. Special emphasis is placed on theta series, with some advanced results included. With detailed proofs and numerous exercises, this book is well-suited for self-study or use as a reference. A companion website provides videos and a discussion forum on the topic. |
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| 物理的記述: | 1 online resource (VIII, 364 p.). |
| ISBN: | 9783662712245 |
| ISSN: | 2191-6675 |
| DOI: | 10.1007/978-3-662-71224-5 |