Sums of averages of generalized Ramanujan sums

JOURNAL OF NUMBER THEORY

卷:180

Article

Kiuchi, Isao¹ 

[1] Yamaguchi Univ, Dept Math Sci, Fac Sci, Yoshida 1677-1, Yamaguchi 7538512, Japan

关键词: gcd-sum functions;    Ramanujan sums;    Euler totient function;    Dedekind totient function;    Bernoulli polynomials;    Gamma function;    Asymptotic results on arithmetical;    functions;   

DOI  :  10.1016/j.jnt.2017.03.026

来源: Elsevier

【 摘 要 】

For any positive integers k and j, we consider some asymptotic formulas for weighted averages of the Cohen - Ramanujan sums s(k)((s))(j) = Sigma(d)vertical bar(k), (ds)vertical bar j f(d)g (k/d) with any fixed positive integer s >= 1, and any arithmetical functions f and g. (C) 2017 Published by Elsevier Inc.

【 授权许可】

Free