Meselem Karras
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Asymptotic formula for the multiplicative function
$\frac{d(n)}{k^{\omega(n)}}$
cm:10104 -
Communications in Mathematics,
October 18, 2022,
Volume 31 (2023), Issue 1
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https://doi.org/10.46298/cm.10104Asymptotic formula for the multiplicative function
$\frac{d(n)}{k^{\omega(n)}}$Article
Authors: Meselem Karras
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Meselem Karras
For a fixed integer $k$, we define the multiplicative function \[D_{k,\omega}(n) := \frac{d(n)}{k^{\omega(n)}}, \]where $d(n)$ is the divisor function and $\omega (n)$ is the number of distinct prime divisors of $n$. The main purpose of this paper is the study of the mean value of the function $D_{k,\omega}(n)$ by using elementary methods.
Volume: Volume 31 (2023), Issue 1
Published on: October 18, 2022
Accepted on: October 4, 2022
Submitted on: September 30, 2022
Keywords: Mathematics - Number Theory