Elliptic functions

Serge Lang - Collection Graduate Texts in Mathematics

344 pages, parution le 26/05/1987 (2^eme édition)

Ajouter à une liste

Indisponible

Résumé

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.

L'auteur - Serge Lang

Professeur à Yale University

Autres livres de Serge Lang

Algèbre

Découvrir tous les livres de Serge Lang

Sommaire

General Theory
Complex Multiplication Elliptic Curves with Singular Invariants
Elliptic Curves with Non-integral Invariants
Theta Functions and Kronecker limit Formula

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Serge Lang
Collection	Graduate Texts in Mathematics
Parution	26/05/1987
Édition	2^eme édition
Nb. de pages	344
Format	16 x 24
Couverture	Relié
Poids	998g
Intérieur	Noir et Blanc
EAN13	9780387965086
ISBN13	978-0-387-96508-6