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Diophantine Equations and Power Integral Bases: Theory and Algorithms

Diophantine Equations and Power Integral Bases: Theory and Algorithms

Paperback

General ComputersGeneral MathematicsProgramming

ISBN10: 3030238679
ISBN13: 9783030238674
Publisher: Birkhauser
Published: Sep 19 2020
Pages: 326
Weight: 1.08
Height: 0.73 Width: 6.14 Depth: 9.21
Language: English
This monograph outlines the structure of index form equations, and makes clear their relationship to other classical types of Diophantine equations. In order to more efficiently determine generators of power integral bases, several algorithms and methods are presented to readers, many of which are new developments in the field. Additionally, readers are presented with various types of number fields to better facilitate their understanding of how index form equations can be solved. By introducing methods like Baker-type estimates, reduction methods, and enumeration algorithms, the material can be applied to a wide variety of Diophantine equations. This new edition provides new results, more topics, and an expanded perspective on algebraic number theory and Diophantine Analysis.

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