二次代数扩域上理想计数函数在短区间上的均值估计
Mean Value Estimation of Ideal Counting Function in Short Interval over Quadratic Algebraic Extension Field
摘要: 设K是有理数域ℚ的二次代数扩张，aK(n)是K上的理想计数函数，本文利用Selberg-Delange方法给出aK(n)l在短区间n∈[x,x+y]上的均值估计如下：对于一致成立，其中c,c1,c2均为与l有关的常数。
Abstract: Let K be a quadratic algebraic extension of ℚ, aK(n) is an ideal counting function on K. In this paper, we use the Selberg-Delange method to give the mean estimation of aK(n)l in a short interval as follows: It is consistent for where c,c1,c2 are constants related to l.
文章引用：朱爽爽. 二次代数扩域上理想计数函数在短区间上的均值估计[J]. 理论数学, 2021, 11(11): 1827-1840. https://doi.org/10.12677/PM.2021.1111206

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