Elliptic diophantine equations /

Elliptic diophantine equations /

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Bibliographic Details
Author / Creator:	Tzanakis, Nikos, 1952-
Imprint:	Berlin ; Boston : Walter de Gruyter, [2013] ©2013
Description:	1 online resource (195 pages)
Language:	English
Series:	De Gruyter series in discrete mathematics and applications ; 2 De Gruyter series in discrete mathematics and applications ; 2.
Subject:	Diophantine equations. Elliptic functions. Diophantine equations. Elliptic functions. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11215453

Hidden Bibliographic Details
ISBN:	9783110281149 3110281147 9783110280913
Notes:	Includes bibliographical references and index. Print version record.
Summary:	This book presents in a unified way the beautiful and deep mathematics, both theoretical and computational, on which the explicit solution of an elliptic Diophantine equation is based. It collects numerous results and methods that are scattered in literature. Some results are even hidden behind a number of routines in software packages, like Magma. This book is suitable for students in mathematics, as well as professional mathematicians.
Other form:	Print version: Tzanakis, Nikos, 1952- Elliptic diophantine equations. Berlin : Walter de Gruyter GmbH & Co., KG, ©2013. xvi, 179 pages De Gruyter series in discrete mathematics and applications ; 2 9783110280913

Table of Contents:

Frontmatter
Preface
Contents
Chapter 1 Elliptic curves and equations
Chapter 2 Heights
Chapter 3 Weierstrass equations over C and R
Chapter 4 The elliptic logarithm method
Chapter 5 Linear form for the Weierstrass equation
Chapter 6 Linear form for the quartic equation
Chapter 7 Linear form for simultaneous Pell equations
Chapter 8 Linear form for the general elliptic equation
Chapter 9 Bound for the coefficients of the linear form
Chapter 10 Reducing the bound obtained in Chapter 9
Chapter 11 S-integer solutions of Weierstrass equations
List of symbols
Bibliography
Index