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Diophantine Equations and Power Integral Bases

Diophantine Equations and Power Integral Bases PDF Author: Istvan Gaal
Publisher: Springer Science & Business Media
ISBN: 1461200857
Category : Mathematics
Languages : en
Pages : 192

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Book Description
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.