短区间上四元混合幂的除数和
On the Sum of Divisors of Mixed Powers of Four Variables in Short Intervals
DOI: 10.12677/PM.2020.1012143, PDF,   
作者: 王 鑫：青岛大学数学与统计学院，山东 青岛
关键词: 除数问题；圆法；短区间；四元混合幂；Divisor Problem； Circle Method； Short Intervals； Mixed Powers of Four Variables
摘要: 设d(n)为Dirichlet除数函数。本文考虑了短区间上四元混合幂除数函数的均值问题，并得到了一个有效的渐进公式。
Abstract: Let d(n) denote the Dirichlet divisor function. In this paper, we consider the mean value of the mixed power of four variables of the divisor function in short intervals, and obtain an effective asymptotic formula.
文章引用：王鑫. 短区间上四元混合幂的除数和[J]. 理论数学, 2020, 10(12): 1199-1212. https://doi.org/10.12677/PM.2020.1012143

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