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Diophantine Equations and Power Integral Bases

Theory and Algorithms

István Gaál

PDF
ca. 139,09 €
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik

Beschreibung

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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Schlagwörter

Algebraic Number Theory, Thue equations, Norm form equations, Number fields, Power integral bases, Diophantine equation, Algorithmic Analysis, Diophantine equation solutions, Baker's method solution, number theory, Index form equations