3 citations · 13 across the 15 of their papers we have counts for
18 papers
Weighted averages of Bernoulli polynomials and the Gamma function over regular integers modulo
Waseem Alass, Sumaia Saad Eddin
We investigate weighted averages involving Bernoulli polynomials and the Gamma function over regular integers modulo n. Building upon recent identities of Kiuchi and Matsuoka toget…
The Kummer ratio of the relative class number for prime cyclotomic fields
Neelam Kandhil, Alessandro Languasco, Pieter Moree +2
Kummer's conjecture predicts the asymptotic growth of the relative class number of prime cyclotomic fields. We substantially improve the known bounds of Kummer's ratio under three…
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…
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…