A Note on Cube-Full Numbers in Arithmetic Progression

被引：0

作者：

Zhong, Mingxuan ^{[1
]}

Ma, Yuankui ^{[2
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R China

[2] Xian Technol Univ, Sch Sci, Xian 710021, Shaanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

基金：

中国国家自然科学基金;

关键词：

SQUARE-FULL; EXPONENTIAL-SUMS;

D O I：

10.1155/2021/5552120

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an asymptotic formula for the cube-full numbers in an arithmetic progression n = l(mod q), where (q, l) = 1. By extending the construction derived from Dirichlet's hyperbola method and relying on Kloosterman-type exponential sum method, we improve the very recent error term with x((118/4029)) < q.

引用

页数：22

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