Applications of Diophantine Approximation to Integral Points and Transcendence

ISBN-13: 9781108424943 / Angielski / Twarda / 2018 / 208 str.

Pietro Corvaja; Umberto Zannier

Opis

Introduction to Diophantine approximation and equations focusing on Schmidt's subspace theorem, with applications to transcendence.

Recenzje

'Researchers new to Diophantine approximation and experts alike will find this volume to be an essential account of this time-honored subject.' Matthew A. Papanikolas, MathsSciNet

Spis treści

Notations and conventions; Introduction; 1. Diophantine approximation and Diophantine equations; 2. Schmidt's subspace theorem and S-unit equations; 3. Integral points on curves and other varieties; 4. Diophantine equations with linear recurrences; 5. Some applications of the subspace theorem in transcendental number theory; References; Index.