TY  - BOOK
AU  - Evertse,Jan-Hendrik
AU  - Győry,Kálmán
TI  - Discriminant equations in Diophantine number theory
T2  - New mathematical monographs
SN  - 9781107097612
U1  - 512.74 23
PY  - 2017///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Diophantine equations
KW  - Number theory
KW  - Algebraic number theory
KW  - Discriminants (Mathematics)
KW  - Polynomial equations
N1  - Includes bibliographical references and index
N2  - 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
ER  -