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Elliptic Functions (Graduate Texts in Mathematics, Vol. 112) (Graduate Texts in Mathematics, 112) - Hardcover
Synopsis
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.
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Review
Second Edition
S. Lang
Elliptic Functions
"This book is an excellent addition to the literature and provides a rather complete picture of the modern theory of elliptic functions while remaining at a very concrete level."―MATHEMATICAL REVIEWS
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- PublisherSpringer
- Publication date1987
- ISBN 10 0387965084
- ISBN 13 9780387965086
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages340
- Rating
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