Diophantine Equations and Power Integral Bases : Theory and Algorithms

Second Edition 2019

by Istvan Gaal

Book Details

Format Paperback / Softback

ISBN-10 3030238679

ISBN-13 9783030238674

Edition Second Edition 2019

Publisher Springer Nature Switzerland AG

Imprint Springer Nature Switzerland AG

Country of Manufacture GB

Country of Publication GB

Publication Date Sep 19th, 2020

Print length 326 Pages

Product Classification: Number theory

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This monograph outlines the structure of index form equations, and makes clear their relationship to other classical types of Diophantine equations.

Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.

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