3 citations · 4 across the 8 of their papers we have counts for
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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…
On sums of weighted averages of -sum functions
Isao Kiuchi, Sumaia Saad Eddin
Let be the greatest common divisor of the integers and . In this paper, we give several interesting asymptotic formulas for weighted averages of the -sum f…
Sums of weighted averages of gcd-sum functions II
Isao Kiuchi, Sumaia Saad Eddin
In this paper, we establish the following two identities involving the Gamma function and Bernoulli polynomials, namely $$ \sum_{k\leq x}\frac{1}{k^s} \sum_{j=1}^{k^s}\logΓ\left(\f…