UID:
almafu_9958353906002883
Format:
1 online resource(xvi,179p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110281149
Series Statement:
De Gruyter Series in Discrete Mathematics and Applications; 2
Content:
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.
Note:
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.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110280913
Additional Edition:
ISBN 9783110281156
Language:
English
DOI:
10.1515/9783110281149
URL:
https://doi.org/10.1515/9783110281149
URL:
Volltext
(lizenzpflichtig)
URL:
https://doi.org/10.1515/9783110281149
URL:
https://www.degruyter.com/isbn/9783110281149
