ENGLISH

Elliptic Functions

By Serge Lang (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1987
ISBN
9780387965086, 0387965084
DOI
10.1007/978-1-4612-4752-4
LCC
QA343 .L35 1987
Open Library ID
OL2376206M
Language
english
Format
DJVU
Filesize
3 MB (3417003 bytes)
Series
Graduate Texts in Mathematics 112
Edition
2
Pages
328\336
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2009-07-20 03:45:11
Analysis

Description

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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