GL(n) 上的有效重数一定理
数论
2007-05-23 v4
摘要
我们为 GL(n) x GL(n') 上的 Rankin-Selberg L-函数建立了随解析导子呈反幂次锥形的无零点区域。此类无零点区域等价于临界条边缘上的相应下界，并且在 的情形下等价于 s=1 处留数的下界。作为一个应用，我们表明 GL(n) 上的尖点自守表示由其 Dirichlet 级数系数的有限多个所决定，且此数目在解析导子上至多多项式增长。
引用
@article{arxiv.math/0306052,
title = {Effective Multiplicity One for GL(n)},
author = {Farrell Brumley},
journal= {arXiv preprint arXiv:math/0306052},
year = {2007}
}
备注
In this final version of this paper, soon to be published in this form in the American Journal of Math, I have corrected some definitions concerning the analytic conductor and addressed some minor problems involving ramification in the final section