The Dirichlet divisor problem over square-free integers and unitary convolutions

被引：0

作者：

de Camargo, Andre Pierro ^{[1
]}

机构：

[1] Fed Univ ABC Reg, Santo Andre, Brazil

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2023年 / 29卷 / 03期

关键词：

Dirichlet divisor problem; Square-free integers; Unitary convolutions;

D O I：

10.7546/nntdm.2023.29.3.549-556

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an asymptotic formula for the sum integers less than or equal to x, with error term O(x1/2+E).This improves the error term O(x3/4+E) presented in [7] obtained via analytical methods. Our approach is elementary and it is based on & SIM;D2 of the divisors of all square-free the connections between the function & SIM;D2 and unitary convolutions.

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页码：549 / 556

页数：8

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