当前位置:
X-MOL 学术
›
J. Number Theory
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Variance of sums in short intervals and L-functions in Fq[t]
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-08-24 , DOI: 10.1016/j.jnt.2021.07.016 Leonhard Hochfilzer 1
中文翻译:
Fq[t] 中短区间和 L 函数的方差
更新日期:2021-08-24
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-08-24 , DOI: 10.1016/j.jnt.2021.07.016 Leonhard Hochfilzer 1
Affiliation
Keating and Rudnick studied the variance of the polynomial von Mangoldt function in arithmetic progressions and short intervals using two equidistribution results by Katz. Hall, Keating and Roditty-Gershon then generalised the result for arithmetic progressions for a von Mangoldt function attached to a Galois representation . We employ a recent equidistribution result by Sawin in order to generalise the corresponding result for short intervals for .
中文翻译:
Fq[t] 中短区间和 L 函数的方差
Keating 和 Rudnick 研究了多项式 von Mangoldt 函数的方差使用 Katz 的两个等分布结果在算术级数和短区间中。Hall、Keating 和 Roditty-Gershon 然后将结果推广到 von Mangoldt 函数的算术级数附加到一个伽罗瓦表示. 我们采用 Sawin 最近的一个均衡结果,以便将相应的结果推广到短时间间隔.