Mehdi Hassani ; Mohammadreza Esfandiari
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On the geometric mean of the values of positive multiplicative
arithmetical functions
cm:10133 -
Communications in Mathematics,
October 18, 2022,
Volume 31 (2023), Issue 1
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https://doi.org/10.46298/cm.10133On the geometric mean of the values of positive multiplicative
arithmetical functionsArticle
Authors: Mehdi Hassani ; Mohammadreza Esfandiari
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Mehdi Hassani;Mohammadreza Esfandiari
In this paper we obtain asymptotic expansion for the geometric mean of the values of positive strongly multiplicative function $f$ satisfying $f(p)=\alpha(d)\,p^d+O(p^{d-\delta})$ for any prime $p$ with $d$ real and $\alpha(d),\delta>0$.
Volume: Volume 31 (2023), Issue 1
Published on: October 18, 2022
Accepted on: October 12, 2022
Submitted on: October 11, 2022
Keywords: Mathematics - Number Theory, 11A25, 11N56, 11N05, 11A41