Diophantine Approximation
Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000 (Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze)
Contributors: Francesco Amoroso (Editor); Umberto Zannier (Editor)
Edition: 1 edition
Publisher: Springer
Published: September 10, 2003
Language: eng
Format: Paperback
Number of pages: 353
ISBN-13: 9783540403920
Subjects: Mathematics and Science; Congresses; Diophantine approximation; Mathematics; Science/Mathematics; Number Theory; 11J68, 11J86, 11B37; Linear Forms in Logarithms; Mathematics / Number Theory
Description: The C.I.M.E. session in Diophantine Approximation, held in Cetraro (Italy) June 28 - July 6, 2000 focused on height theory, linear independence and transcendence in group varieties, Baker's method, approximations to algebraic numbers and applications to polynomial-exponential diophantine equations and to diophantine theory of linear recurrences. Very fine lectures by D. Masser, Y. Nesterenko, H.-P. Schlickewei, W.M. Schmidt and M. Waldschmidt have resulted giving a good overview of these topics, and describing central results, both classical and recent, emphasizing the new methods and ideas of the proofs rather than the details. They are addressed to a wide audience and do not require any prior specific knowledge.