I. Kiuchi

activity

20182024

most citedOn sums of arithmetic functions involving the greatest common divisor

3 citations · 4 across the 5 of their papers we have counts for

collaborators

Showing 2020 · math.NTShow all

2 papers · 2 filters

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…

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

Sums of averages of gcd-sum functions II

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