【预订】Effective Results and Methods for Diophantine Equations
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/ 2022-04-01
Product Details 基本信息 ISBN-13 书号 9781009005852 Author 作者 Jan-Hendrik Evertse Format 版本 平装-胶订 Pages Number 页数 240页 Publisher 出版社 Cambridge University Press Publication Date 出版日期 2022-04-01 Language 语种 其它(含多语) Book Contents 内容简介 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 explaine
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