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.
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页码：12885 / 12896
页数：12
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