Elliptic Functions

Serge Lang

ISBN 10: 1461291429 / ISBN 13: 9781461291428

Published by Springer Sep 2011, 2011

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature Customer Service Center GmbH, Europaplatz 3, 69115 Heidelberg 344 pp. Englisch.

Seller Inventory # 9781461291428

Bibliographic Details

• Title: Elliptic Functions
• Publisher: Springer Sep 2011
• Publication Date: 2011
• Language: English
• ISBN 10: 1461291429
• ISBN 13: 9781461291428
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 235W x 155H x 19D millimeters 235 millimeters width by 155 millimeters height by 19 millimeters depth
• Weight: 522 grams

About this title

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.

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