arXiv subjects

Waseem Alass

Publications and source records attributed to Waseem Alass.

2 recordsLinked to original sources

arXiv2026

Weighted averages of Bernoulli polynomials and the Gamma function over regular integers modulo $n$

We investigate weighted averages involving Bernoulli polynomials and the Gamma function over regular integers modulo n. Building upon recent identities of Kiuchi and Matsuoka together with our previous transformation formulas for weighted averages over regular integers, we derive explicit asymptotic formulas for a broad class of arithmetic functions. As applications, asymptotic formulas are obtained for the identity, M\"obius, divisor and Jordan totient functions.

math.NT↗

arXiv2017

Weighted averages of arithmetic functions over regular integers modulo $n$

We investigate weighted averages of arithmetic functions over regular integers modulo $n$, extending previous identities of Kiuchi and Matsuoka. We establish general transformation formulas for the associated partial sums corresponding to arbitrary arithmetic functions. These formulas provide a unified framework for deriving asymptotic results. As applications, we obtain explicit asymptotic formulas for weighted averages involving several classical multiplicative functions, including the identity, M\"obius, divisor, and Jordan totient functions.

math.NT↗