无立方因子导子的狄利克雷 L-函数的 Weyl 界
数论
2022-05-17 v3
摘要
我们证明了任意无立方因子导子的狄利克雷 -函数的 Weyl 指数次凸界。我们还对作为较小导子形式扭曲而出现的某些自对偶 自守形式的 -函数给出了同等强度的界。
引用
@article{arxiv.1811.02452,
title = {The Weyl bound for Dirichlet $L$-functions of cube-free conductor},
author = {Ian Petrow and Matthew P. Young},
journal= {arXiv preprint arXiv:1811.02452},
year = {2022}
}
备注
Final version, to appear in Annals of Mathematics. We fixed a gap in the proof of the character sum estimate in section 9 using Deligne's semicontinuity theorem