Elliptic Functions by Serge Lang

Elliptic Functions by Serge Lang

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.

Second Edition

SLang

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

SKU	Unavailable
ISBN 13	9780387965086
ISBN 10	0387965084
Title	Elliptic Functions
Author	Serge Lang
Series	Graduate Texts In Mathematics
Condition	Unavailable
Publisher	Springer-Verlag New York Inc.
Year published	1987-05-26
Number of pages	328
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.