I. Kiuchi

most citedOn sums of weighted averages of

g cd

-sum functions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2020

On the weighted average number of subgroups of $Z_{m} \times Z_{n}$ with $mn \leq x$

Isao Kiuchi, Sumaia Saad Eddin

Let $Z_{m}$ be the additive group of residue classes modulo $m$ . For any positive integers $m$ and $n$ , let $s (m, n)$ and $c (m, n)$ denote the total number of subgroups and…

math.NT2020

Sums of averages of gcd-sum functions II

Lisa Kaltenböck, Isao Kiuchi, Sumaia Saad Eddin +1

Let $g cd (k, j)$ denote the greatest common divisor of the integers $k$ and $j$ , and let $r$ be any fixed positive integer. Define $$ M_r(x; f) := \sum_{k\leq x}\frac{1}{k^{r+1}}\su…

math.NT2018★ 1 cited

On sums of weighted averages of $g cd$ -sum functions

Isao Kiuchi, Sumaia Saad Eddin

Let $g cd (j, k)$ be the greatest common divisor of the integers $j$ and $k$ . In this paper, we give several interesting asymptotic formulas for weighted averages of the $g cd$ -sum f…

On the weighted average number of subgroups of Zm​×Zn​ with mn≤x

Sums of averages of gcd-sum functions II

On sums of weighted averages of gcd-sum functions

On the weighted average number of subgroups of $Z_{m} \times Z_{n}$ with $mn \leq x$

On sums of weighted averages of $g cd$ -sum functions