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Authors
Affiliations
1 Department of Mathematical Sciences, Yamaguchi University, Yoshida 1677-1, Yamaguchi-753-8512, JP
2 Onoda High School, Kushiyama 1-26-1, Sanyoonoda-753-0080, JP
Source
Journal of the Ramanujan Mathematical Society, Vol 31, No 4 (2016), Pagination: 339-357
Abstract
We consider a weighted average for a generalized Anderson-Apostol sum ∑d|(k,n) f(d)g (k/d) h (n/d) for any arithmetical functions f, g and h, with the weights concerning completely multiplicative function, completely additive function, logarithms, values of arithmetical functions for gcd’s, the Gamma function, the Bernoulli polynomials and binomial coefficients, whose results are a generalization of formulas due to E. Alkan and L. Toth.