3 citations · 4 across the 8 of their papers we have counts for
8 papers
The summatory function of the Möbius function involving the greatest common divisor
Isao Kiuchi, Sumaia Saad Eddin
Let denote the greatest common divisor of the positive integers and , and let represent the M\" obius function. For any real number , we define the summ…
On sums of arithmetic functions involving the greatest common divisor
Isao Kiuchi, Sumaia Saad Eddin
Let be the greatest common divisor of the positive integers , for any integer , and let and denote the divisor funct…
On the weighted average number of subgroups of with
Isao Kiuchi, Sumaia Saad Eddin
Let be the additive group of residue classes modulo . For any positive integers and , let and denote the total number of subgroups and…
Sums of averages of gcd-sum functions II
Lisa Kaltenböck, Isao Kiuchi, Sumaia Saad Eddin +1
Let denote the greatest common divisor of the integers and , and let be any fixed positive integer. Define $$ M_r(x; f) := \sum_{k\leq x}\frac{1}{k^{r+1}}\su…
On the multivariable generalization of Anderson-Apostol sums
Isao Kiuchi, Friedrich Pillichshammer, Sumaia Saad Eddin
In this paper, we give various identities for the weighted average of the product of generalized Anderson-Apostol sums with weights concerning completely multiplicative function, c…
On sums of logarithmic averages of gcd-sum functions
Isao Kiuchi, Sumaia Saad Eddin
Let be the greatest common divisor of the integers and . For any arithmetical function , we establish several asymptotic formulas for weighted averages of gcd…