A new arithmetical function and its mean value properties

被引：0
作者：
Wenpeng Zhang
Teerapat Srichan
Xingxing Lv
机构：
[1] Northwest University,School of Mathematics
[2] Kasetsart University,Department of Mathematics, Faculty of Science
来源：
Boletín de la Sociedad Matemática Mexicana | 2021年 / 27卷
关键词：
Arithmetical function; Asymptotic formula; Mean value; Primitive roots; The estimate for character sums; 11A07; 11A25;
D O I：
暂无
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学科分类号：
摘要：
In this article, we use elementary methods and the estimate for character sums to study the mean value properties of a new arithmetical function, and obtain a sharp asymptotic formula for it.
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[1]  
Andrea S(2019)Least primitive root and simultaneous power non-residues J. Number Theory 204 246-263
[2]  
Anwar M(2017)On simultaneous primitive roots Acta. Arith. 180 35-43
[3]  
Pappalardi F(2010)Sums with convolutions of Dirichlet characters Manuscripta Math. 133 105-144
[4]  
Banks WD(1975)Character analogues of the poisson and Euler-MacLaurin summation formulas with applications J. Number Theory 7 413-445
[5]  
Shparlinski IE(2017)On the least square-free primitive root modulo J. Number Theory 170 10-16
[6]  
Berndt BC(2019)Lehmer numbers and primitive roots modulo a prime J. Number Theory 203 68-79
[7]  
Cohen SD(2018)Square-full primitive roots Int. J. Number Theory 14 1013-1021
[8]  
Trudgian T(1953)Über die anzahl abelscher gruppen gegebener Ordnung II. Math. Z. 58 71-84
[9]  
Cohen SD(2020)On the distribution of square-full and cube-full primitive roots Period. Math. Hungar 80 103-107
[10]  
Trudgian T(2020)A bound of sums with convolutions of Dirichlet characters Notes Number Theory Discrete Math. 26 70-74
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