著者紹介

内容

目次

Introduction; 1. One century of logarithmic forms G. Wustholz; 2. Reporton p-adic logarithmic forms Kunrun Yui; 3. Recent progress on linear forms inelliptic logarithms Sinnou David and Noriko Hirata-Kohno; 4. SolvingDiophantine equations by Baker's theory Kalman Gyory; 5. Baker's method andmodular curves Yuri F. Bilu; 6. Application of the Andre-Oort conjecturePaula B. Cohen and Gisbert Wustholz; 7. Regular dessins Jurgen Wolfart; 8.Maass cusp forms with integer coefficients Peter Sarnak; 9. Modular forms,elliptic curves and the ABC-conjecture Dorian Goldfeld; 10. On the algebraicindependence of numbers Yu. V. Nesterenko; 11. Ideal lattices EvaBayer-Fluckiger; 12. Integral points and Mordell-Weil lattices TetsujiShioda; 13. Forty years of effective results in Diophantine theory EnricoBombieri; 14. Points on subvarieties of tori Jan-Hendrik Evertse; 15. A newapplication of Diophantine approximations G. Faltings; 16. Search bounds forDiophantine equations D. W. Masser; 17. Regular systems and ubiquity V. V.Beresnevich, V. I. Bernik and M. M. Dodson; 18. Diophantine approximation,lattices and flows Gregory Margulis; 19. Baker's constant and Vinogradov'sbound Ming-Chit Liu and Tianze Wang; 20. Powers in arithmetic progression T.N. Shorey; 21. Greatest common divisor A. Schinzel; 22. Heilbronn'sexponential sum and transcendence theory D. R. Heath-Brown.