3 citations · 4 across the 5 of their papers we have counts for
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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…
Computation of the Kummer ratio of the class number for prime cyclotomic fields
Alessandro Languasco, Pieter Moree, Sumaia Saad Eddin +1
Let be a primitive root of unity with an arbitrary odd prime. The ratio of Kummer's first factor of the class number of the cyclotomic number field $\math…
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…
An asymptotic formula for the -th power mean value of
Kohji Matsumoto, Sumaia Saad Eddin
Let be a positive integer (), be a Dirichlet character modulo , be the attached Dirichlet -function, and let denote its derivative…
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…