一种指数平均的 Vasyunin 公式
数论
2020-04-22 v1
摘要
我们证明了一个 Vasyunin 型公式，用于由推广到概率框架下的 Nyman-Beurling 准则所产生的自相关函数。该公式也可视为余切和的互反公式，与 [BC13]、[ABB17] 中证明的公式相关。
引用
@article{arxiv.2004.10086,
title = {An exponentially averaged Vasyunin formula},
author = {Sébastien Darses and Erwan Hillion},
journal= {arXiv preprint arXiv:2004.10086},
year = {2020}
}
备注
This paper has been written from results already stated in a previous version of another paper in 2018, but has been now submitted separately. arXiv admin note: text overlap with arXiv:1805.06733