函数L自同构在点中心的非环化
Non annulation des fonctions L automorphes au point central
摘要：
关于模形式的问题最近受到了很多关注;关于自守L-函数的非零性，Michel，Kowalski和Vanderkam证明了（在其他结果中）在临界点有正比例的原始形式的非零性。这一结果已被这些作者在素水平的情况下证明;另一方面，Iwaniec，Luo和Sarnak在无平方水平的情况下证明了同样的结果。为了理解水平形式的算术形状对消失的影响，本文研究了具有素幂水平的基元形式的推广。
英文摘要：
The question about modular forms have recently received a lot of attention; concerning the non-vanishing of automorphic L-functions Michel, Kowalski and Vanderkam proved (among others results) that there's positive proportion of non-vanishing of primitives forms at the critical point. This result was proved by these authors in the prime level case; on the othe hand, Iwaniec, Luo and Sarnak showed the same result for the squarefree level case. In order to understand the influence of the arithmetic shape of level forms in their vanishing, this paper studies a generalisation to the primitives forms with prime powers level.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
