2026/08/02 by Waseem Alass, Sumaia Saad Eddin
Mathematics · #math.NT
17 pages
arxiv created 2026/08/02 · arxiv updated 2026/08/04
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, Möbius, divisor and Jordan totient functions.