Applications of Diophantine Approximation to Integral Points and - Transcendenc

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

List of contents

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.

About the author

Pietro Corvaja is Full Professor of Geometry at the Università degli Studi di Udine, Italy. His research interests include arithmetic geometry, Diophantine approximation and the theory of transcendental numbers.Umberto Zannier is Full Professor of Geometry at Scuola Normale Superiore, Pisa. His research interests include number theory, especially Diophantine geometry and related topics.

Summary

This introduction to Diophantine approximation and Diophantine equations, with applications to related topics, pays special regard to Schmidt's subspace theorem. It contains a number of results, some never before published in book form, and some new. The authors introduce various techniques and open questions to guide future research.

Product details

• Authors: Pietro Corvaja, Pietro (Universit... Degli Studi DI Udine Corvaja, Pietro (Universita Degli Studi DI Udine Corvaja, Corvaja Pietro, Umberto Zannier, Umberto (Scuola Normale Superiore Zannier, Zannier Umberto
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.04.2018
• EAN: 9781108424943
• ISBN: 978-1-108-42494-3
• No. of pages: 208
• Series: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; MATHEMATICS / Number Theory, Algebraic Geometry, Number Theory, Analytic geometry