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The book explores the relationship between elliptic functions and elliptic curves, a key area of mathematics since the 19th century. It is structured into four parts: the first introduces the analytic theory suitable for those with basic complex analysis knowledge; the second delves into complex multiplication and related theories; the third focuses on curves with non-integral invariants, utilizing the Tate parametrization; and the final part discusses theta functions and the Kronecker Limit Formula, complemented by an appendix on algebraic formulas in arbitrary characteristic.
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Elliptic Functions, Serge Lang
- Language
- Released
- 2011
- product-detail.submit-box.info.binding
- (Paperback)
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- Title
- Elliptic Functions
- Language
- English
- Authors
- Serge Lang
- Publisher
- Springer New York
- Released
- 2011
- Format
- Paperback
- Pages
- 344
- ISBN13
- 9781461291428
- Category
- Mathematics
- Description
- The book explores the relationship between elliptic functions and elliptic curves, a key area of mathematics since the 19th century. It is structured into four parts: the first introduces the analytic theory suitable for those with basic complex analysis knowledge; the second delves into complex multiplication and related theories; the third focuses on curves with non-integral invariants, utilizing the Tate parametrization; and the final part discusses theta functions and the Kronecker Limit Formula, complemented by an appendix on algebraic formulas in arbitrary characteristic.