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Effective Results And Methods For Diophantine Equations Over Finitely Generated Domains Janhendrik Evertse

  • SKU: BELL-46507382
Effective Results And Methods For Diophantine Equations Over Finitely Generated Domains Janhendrik Evertse
$ 31.00 $ 45.00 (-31%)

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Effective Results And Methods For Diophantine Equations Over Finitely Generated Domains Janhendrik Evertse instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 7.12 MB
Pages: 240
Author: Jan-Hendrik Evertse, Kálmán Győry
ISBN: 9781009005852, 1009005855
Language: English
Year: 2022

Product desciption

Effective Results And Methods For Diophantine Equations Over Finitely Generated Domains Janhendrik Evertse by Jan-hendrik Evertse, Kálmán Győry 9781009005852, 1009005855 instant download after payment.

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.

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