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Diophantine Equations and Power Integral Bases

Theory and Algorithms

By (author) Istvan Gaal
Format: Hardback
Publisher: Springer Nature Switzerland AG, Cham, Switzerland
Published: 19th Sep 2019
Dimensions: w 156mm h 234mm d 21mm
Weight: 667g
ISBN-10: 3030238644
ISBN-13: 9783030238643
Barcode No: 9783030238643
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Synopsis
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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"The book is recommended to PhD students and researchers in the field of Diophantine equations. It can be used as a textbook for a specialized graduate course in Thue and index-form equations and as an additional reading for a general course in Diophantine equations." (Andrej Dujella, zbMATH 1465.11090, 2021)