科研之友
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摘要
We consider a weighted average for a generalized Anderson-Apostol sum Sigma(d vertical bar(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.
- 出版日期2016-12
