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Elliptic diophantine equations /

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 nu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tzanakis, Nikos, 1952-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter, [2013]
Colección:De Gruyter series in discrete mathematics and applications ; 2.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Tzanakis, Nikos,  |d 1952-  |1 https://id.oclc.org/worldcat/entity/E39PBJtMkPdrwxcJChfmR6Pmh3 
245 1 0 |a Elliptic diophantine equations /  |c by Nikos Tzanakis. 
264 1 |a Berlin ;  |a Boston :  |b Walter de Gruyter,  |c [2013] 
264 4 |c ©2013 
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490 1 |a De Gruyter series in discrete mathematics and applications ;  |v 2 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
520 |a 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. 
505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t Chapter 1 Elliptic curves and equations --  |t Chapter 2 Heights --  |t Chapter 3 Weierstrass equations over C and R --  |t Chapter 4 The elliptic logarithm method --  |t Chapter 5 Linear form for the Weierstrass equation --  |t Chapter 6 Linear form for the quartic equation --  |t Chapter 7 Linear form for simultaneous Pell equations --  |t Chapter 8 Linear form for the general elliptic equation --  |t Chapter 9 Bound for the coefficients of the linear form --  |t Chapter 10 Reducing the bound obtained in Chapter 9 --  |t Chapter 11 S-integer solutions of Weierstrass equations --  |t List of symbols --  |t Bibliography --  |t Index 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Diophantine equations. 
650 0 |a Elliptic functions. 
650 6 |a Équations diophantiennes. 
650 6 |a Fonctions elliptiques. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Diophantine equations  |2 fast 
650 7 |a Elliptic functions  |2 fast 
653 |a Algebraic Number Theory. 
653 |a Computational Method. 
653 |a Diophantine Geometry. 
653 |a Elliptic Diophantine Equation. 
653 |a Magma. 
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776 0 8 |i Print version:  |a Tzanakis, Nikos, 1952-  |t Elliptic diophantine equations.  |d Berlin : Walter de Gruyter GmbH & Co., KG, ©2013.  |h xvi, 179 pages  |k De Gruyter series in discrete mathematics and applications ; 2  |z 9783110280913  |w (DLC) 2013026650 
830 0 |a De Gruyter series in discrete mathematics and applications ;  |v 2. 
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