Diophantine Approximation

Festschrift for Wolfgang Schmidt

  • Hans Peter Schlickewei
  • Klaus Schmidt
  • Robert F. Tichy

Part of the Developments in Mathematics book series (DEVM, volume 16)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Hans Peter Schlickewei
    Pages 1-20
  3. Roger C. Baker
    Pages 21-39
  4. István Berkes, Walter Philipp, Robert F. Tichy
    Pages 95-105
  5. Peter Bundschuh, Wadim Zudilin
    Pages 123-139
  6. Pietro Corvahja, Umberto Zannier
    Pages 161-174
  7. Jan-Hendrik Evertse, Roberto G. Ferretti
    Pages 175-198
  8. Clemens Fuchs, Attila Pethő, Robert F. Tichy
    Pages 199-209
  9. Lajos Hajdu, Robert Tijdeman
    Pages 211-220
  10. Christian Krattenthaler, Tanguy Rivoal
    Pages 221-230
  11. David Masser, Jeffrey D. Vaaler
    Pages 237-243
  12. Yuri V. Nesterenko
    Pages 275-293
  13. Patrice Philippon, Martín Sombra
    Pages 295-338
  14. Gaël Rémond
    Pages 339-345

About these proceedings

Introduction

This volume contains 22 research and survey papers on recent developments in the field of diophantine approximation. The first article by Hans Peter Schlickewei is devoted to the scientific work of Wolfgang Schmidt. Further contributions deal with the subspace theorem and its applications to diophantine equations and to the study of linear recurring sequences. The articles are either in the spirit of more classical diophantine analysis or of geometric or combinatorial flavor. In particular, estimates for the number of solutions of diophantine equations as well as results concerning congruences and polynomials are established. Furthermore, the volume contains transcendence results for special functions and contributions to metric diophantine approximation and to discrepancy theory. The articles are based on lectures given at a conference at the Erwin Schr6dinger Institute in Vienna in 2003, in which many leading experts in the field of diophantine approximation participated. The editors are very grateful to the Erwin Schr6dinger Institute and to the FWF (Austrian Science Fund) for the financial support and they express their particular thanks to Springer-Verlag for the excellent cooperation. Robert E Tichy Diophantine Approximation H. E Schlickewei et al. , Editors 9 Springer-Verlag 2008 THE MATHEMATICAL WORK OF WOLFGANG SCHMIDT Hans Peter Schlickewei Mathematik Informatik, und Philipps-Universitiit Hans-Meerwein-Strasse, Marburg, 35032 Marburg, Germany k. Introduction Wolfgang Schmidt's mathematical activities started more than fifty years ago in 1955. In the meantime he has written more than 180 papers - many of them containing spectacular results and breakthroughs in different areas of number theory.

Keywords

Algebra Diophantine Diophantine approximation Festschrift Number Theory Tichy Wolfgang Schmidt continued fraction

Editors and affiliations

  • Hans Peter Schlickewei
    • 1
  • Klaus Schmidt
    • 2
  • Robert F. Tichy
    • 3
  1. 1.Philipps-Universität MarburgMarburgGermany
  2. 2.Universität WienViennaAustria
  3. 3.Technische Universität GrazGrazAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-211-74280-8
  • Copyright Information Springer Vienna 2008
  • Publisher Name Springer, Vienna
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-211-74279-2
  • Online ISBN 978-3-211-74280-8
  • Series Print ISSN 1389-2177
  • About this book