We prove an ${\mit \Omega }$ result on the average of the sum of the divisors of $n$ which are relatively coprime to any given integer $a$. This generalizes the earlier result for $a$ prime proved by Adhikari, Coppola and Mukhopadhyay.
Keywords:
prove mit omega result average sum divisors which relatively coprime given integer generalizes earlier result prime proved adhikari coppola mukhopadhyay
Affiliations des auteurs :
Shi-Chao Chen
1
;
Yong-Gao Chen
1
1
Department of Mathematics Nanjing Normal University Nanjing 210097, Jiangsu, China
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author = {Shi-Chao Chen and Yong-Gao Chen},
title = {On the average of the sum-of-$a$-divisors function},
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year = {2004},
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Shi-Chao Chen; Yong-Gao Chen. On the average of the sum-of-$a$-divisors function. Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 103-109. doi: 10.4064/cm100-1-10
