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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
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- 2011
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