关于与原始尖点形式相关的平滑子与 L 函数的均值
数论
2017-07-04 v2
摘要
我们研究了与偶权重全纯原始尖点形式相关联的 L 函数在受一族新平滑子扰动下的二阶矩。该族是 Conrey 以及 Bui、Conrey 和 Young 所考虑的平滑子的自然推广。作为应用，我们改进了全纯原始尖点形式临界零点的当前下界。
引用
@article{arxiv.1609.03738,
title = {On mean values of mollifiers and L-functions associated to primitive cusp forms},
author = {Patrick Kühn and Nicolas Robles and Dirk Zeindler},
journal= {arXiv preprint arXiv:1609.03738},
year = {2017}
}
备注
2 Figures. Differences to version 1. There are several improvments in the presentation, including a better fitting title and abract. We also have corrected some minor mathematical errors