Discriminant equations in Diophantine number theory / Jan-Hendrik Evertse and Kálmán Győry.

Includes bibliographical references and index.

This book presents a comprehensive and advanced treatment of discriminant equations and their applications within Diophantine number theory. It explores the relationships between discriminant equations, algebraic number theory, Diophantine approximation, and Diophantine geometry. The text discusses effective methods over number fields and finitely generated domains, algorithms for solving equations, binary forms of given discriminant, unit equations, power integral bases, canonical number systems, and root separation of polynomials. Combining theoretical developments with practical computational approaches, the volume serves as an important reference for graduate students, mathematicians, and researchers working in algebra, number theory, and related areas of pure mathematics.