By Jan-Hendrik Evertse,Kálmán Győry

Discriminant equations are a tremendous category of Diophantine equations with shut ties to algebraic quantity thought, Diophantine approximation and Diophantine geometry. This ebook is the 1st accomplished account of discriminant equations and their purposes. It brings jointly many features, together with powerful effects over quantity fields, powerful effects over finitely generated domain names, estimates at the variety of options, purposes to algebraic integers of given discriminant, energy vital bases, canonical quantity platforms, root separation of polynomials and aid of hyperelliptic curves. The authors' prior name, Unit Equations in Diophantine quantity thought, laid the foundation by way of providing vital effects which are used as instruments within the current publication. This fabric is in brief summarized within the introductory chapters besides the mandatory easy algebra and algebraic quantity conception, making the ebook available to specialists and younger researchers alike.

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Extra resources for Discriminant Equations in Diophantine Number Theory (New Mathematical Monographs)

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