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Effective results and methods for diophantine equations over finitely /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Effective results and methods for diophantine equations over finitely // Jan-Hendrik Evertse, Kálmán Győry.
Author:	Evertse, J. H.,
other author:	Györy, Kálmán,
Description:	1 online resource (xxiv, 216 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 31 Aug 2022).
Subject:	Diophantine equations. -
Online resource:	https://doi.org/10.1017/9781009042109
ISBN:	9781009042109 (ebook)

Effective results and methods for diophantine equations over finitely /
Evertse, J. H.,

Effective results and methods for diophantine equations over finitely /Jan-Hendrik Evertse, Kálmán Győry. - 1 online resource (xxiv, 216 pages) :digital, PDF file(s). - London Mathematical Society lecture note series ;475. - London Mathematical Society lecture note series ;473..

Title from publisher's bibliographic system (viewed on 31 Aug 2022).

This book provides the first thorough treatment of effective results and methods for Diophantine equations over finitely generated domains. Compiling diverse results and techniques from papers written in recent decades, the text includes an in-depth analysis of classical equations including unit equations, Thue equations, hyper- and superelliptic equations, the Catalan equation, discriminant equations and decomposable form equations. The majority of results are proved in a quantitative form, giving effective bounds on the sizes of the solutions. The necessary techniques from Diophantine approximation and commutative algebra are all explained in detail without requiring any specialized knowledge on the topic, enabling readers from beginning graduate students to experts to prove effective finiteness results for various further classes of Diophantine equations.

ISBN: 9781009042109 (ebook)Subjects--Topical Terms:

792270
Diophantine equations.

LC Class. No.: QA242 / .E939 2022

Dewey Class. No.: 512.7/2

Effective results and methods for diophantine equations over finitely /
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245 1 0 $a Effective results and methods for diophantine equations over finitely / $c Jan-Hendrik Evertse, Kálmán Győry.
264 1 $a Cambridge, United Kingdom ; New York, NY : $b Cambridge University Press, $c 2022.
300 $a 1 online resource (xxiv, 216 pages) : $b digital, PDF file(s).
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490 1 $a London Mathematical Society lecture note series ; $v 475
500 $a Title from publisher's bibliographic system (viewed on 31 Aug 2022).
520 $a This book provides the first thorough treatment of effective results and methods for Diophantine equations over finitely generated domains. Compiling diverse results and techniques from papers written in recent decades, the text includes an in-depth analysis of classical equations including unit equations, Thue equations, hyper- and superelliptic equations, the Catalan equation, discriminant equations and decomposable form equations. The majority of results are proved in a quantitative form, giving effective bounds on the sizes of the solutions. The necessary techniques from Diophantine approximation and commutative algebra are all explained in detail without requiring any specialized knowledge on the topic, enabling readers from beginning graduate students to experts to prove effective finiteness results for various further classes of Diophantine equations.
650 0 $a Diophantine equations. $3 792270
650 0 $a Number theory. $3 527883
650 0 $a Diophantine analysis. $3 579821
700 1 $a Györy, Kálmán, $e author. $3 1443636
776 0 8 $i Print version: $z 9781009005852
830 0 $a London Mathematical Society lecture note series ; $v 473. $3 1440438
856 4 0 $u https://doi.org/10.1017/9781009042109