Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V.
Authors, Editors and Affiliations
Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139, Université de Caen, Caen, France
Francesco Amoroso
Instituto Universitario Architettura-D.C.A., Venezia, Italy
Umberto Zannier
Institute of Mathematics, Basel University, Basel, Switzerland
David Masser
Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
Yuri V. Nesterenko
Department of Mathematics, Phillips University of Marburg, Marburg, Germany
Hans Peter Schlickewei
Department of Mathematics, University of Colorado, Boulder, USA
Wolfgang Schmidt
Institut de Mathématiques, Université Paris VI, Paris, France
Michel Waldschmidt
Bibliographic Information
Book Title: Diophantine Approximation
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000
Authors: David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang Schmidt, Michel Waldschmidt
