Sum of the triple divisor function of mixed powers

被引：0

作者：

Zhou, Li ^{[1
]}

Hu, Liqun ^{[1
,2
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Nanchang Univ, Inst Math & Interdisciplinary Sci, Nanchang 330031, Jiangxi, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 07期

关键词：

circle method; divisor problem; asymptotic formula; mixed powers; VALUES;

D O I：

10.3934/math.2022713

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let d(3)(n) denote the 3-th divisor function. In this paper, we study the asymptotic formula of the sum Sigma(1 <= n)1(,n)2(<= X1/2 1 <= n3 <= X1/k )d(3)(n(1)(2) + n(2)(2) + n(3)(k)) with n(1), n(2), n(3) is an element of Z(+) and k >= 3 be an integer. Previously only the case of k = 2 is studied.

引用

页码：12885 / 12896

页数：12

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