Classical Diophantine Equations

ISBN-13: 9783540573593 / Angielski / Miękka / 1993 / 236 str.

Vladimir G. Sprindzuk

Opis

This monograph provides a detailed discussion of the theory of lower bounds for linear forms in the logarithms of algebraic numbers and its applications to the obtaining of upper bounds for solutions to the eponymous classical diophantine equation.

Spis treści

Origins.- Algebraic foundations.- Linear forms in the logarithms of algebraic numbers.- The Thue equation.- The Thue-Mahler equation.- Elliptic and hyperelliptic equations.- Equations of hyperelliptic type.- The class number value problem.- Reducibility of polynomials and diophantine equations.