A panorama in number theory or the view from Baker's garden
A panorama in number theory or the view from Baker's garden
复制标题
数论全景或贝克花园的景色
DOI：
--
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
G. Wüstholz
中科院分区：
文献类型：
--
作者：
G. Wüstholz
引言 1. 对数形式的一个世纪 G. Wustholz 2. p 进对数形式的报告 Kunrun Yui 3. 椭圆对数线性形式的最新进展 Sinnou David 和 Noriko Hirata-Kohno 4. 用贝克理论求解丢番图方程 Kalman Gyoery 5. 贝克方法和模曲线 Yuri F. Bilu 6. Andre-Oort 的应用猜想 Paula B. Cohen 和 Gisbert Wustholz 7. 正则设计 Jurgen Wolfart 8. 带整数系数的 Maass 尖点形式 Peter Sarnak 9. 模形式、椭圆曲线和 ABC 猜想 Dorian Goldfeld 10. 论数的代数独立性 Yu。 V. Nesterenko 11. 理想格子 Eva Bayer-Fluckiger 12. 积分点和 Mordell-Weil 格子 Tetsuji Shioda 13. 丢番图理论四十年来的有效成果 Enrico Bombieri 14. tori Jan-Hendrik Evertse 子变种的点 15. 丢番图近似的新应用 G. Faltings 16. 搜索界限对于丢番图方程 D. W. Masser 17. 正则系统和普遍性 V. V. Beresnevich、V. I. Bernik 和 M. M. Dodson 18. 丢番图逼近、格子和流 Gregory Margulis 19. 贝克常数和维诺格拉多夫约束 Ming-Chit Liu 和 Tianze Wang 20. 算术级数中的幂 T. N. Shorey 21. 最大公数除数 A. Schinzel 22. 海尔布隆的指数和和超越理论 D. R. Heath-Brown。
Introduction 1. One century of logarithmic forms G. Wustholz 2. Report on p-adic logarithmic forms Kunrun Yui 3. Recent progress on linear forms in elliptic logarithms Sinnou David and Noriko Hirata-Kohno 4. Solving Diophantine equations by Baker's theory Kalman Gyoery 5. Baker's method and modular curves Yuri F. Bilu 6. Application of the Andre-Oort conjecture Paula 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 algebraic independence of numbers Yu. V. Nesterenko 11. Ideal lattices Eva Bayer-Fluckiger 12. Integral points and Mordell-Weil lattices Tetsuji Shioda 13. Forty years of effective results in Diophantine theory Enrico Bombieri 14. Points on subvarieties of tori Jan-Hendrik Evertse 15. A new application of Diophantine approximations G. Faltings 16. Search bounds for Diophantine 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's bound Ming-Chit Liu and Tianze Wang 20. Powers in arithmetic progression T. N. Shorey 21. Greatest common divisor A. Schinzel 22. Heilbronn's exponential sum and transcendence theory D. R. Heath-Brown.