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© 1985

Elliptic Functions

Textbook

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 281)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Komaravolu Chandrasekharan
    Pages 1-20
  3. Komaravolu Chandrasekharan
    Pages 21-25
  4. Komaravolu Chandrasekharan
    Pages 26-47
  5. Komaravolu Chandrasekharan
    Pages 48-57
  6. Komaravolu Chandrasekharan
    Pages 58-80
  7. Komaravolu Chandrasekharan
    Pages 81-98
  8. Komaravolu Chandrasekharan
    Pages 99-121
  9. Komaravolu Chandrasekharan
    Pages 141-154
  10. Komaravolu Chandrasekharan
    Pages 155-169
  11. Komaravolu Chandrasekharan
    Pages 170-184
  12. Back Matter
    Pages 185-192

About this book

Introduction

This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is self-contained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory.

Keywords

Complex analysis Functions Meromorphic function Modular form differential equation

Authors and affiliations

  1. 1.Eidgenössische Technische Hochschule ZürichZürichSwitzerland

Bibliographic information

  • Book Title Elliptic Functions
  • Authors Komaravolu Chandrasekharan
  • Series Title Grundlehren der mathematischen Wissenschaften
  • DOI https://doi.org/10.1007/978-3-642-52244-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-15295-8
  • Softcover ISBN 978-3-642-52246-8
  • eBook ISBN 978-3-642-52244-4
  • Series ISSN 0072-7830
  • Edition Number 1
  • Number of Pages XI, 192
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
    Special Functions
  • Buy this book on publisher's site
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Reviews

"...In the breadth, depth and inevitability of treatment of this beautiful material, the author has made a contribution to the mathematical community consistent with the distinction of his career. That he has succeeded in compressing this treatment into a succinct monograph of fewer than 190 pages is a testament to his taste, discipline and powers of exposition."-- MATHEMATICAL REVIEWS