On the Riesz means of δ k (n)
Copyright policy )On the Riesz means of δ k (n)
Let k ≥ 1 be an integer. Let δ k (n) denote the maximum divisor of n which is co-prime to k. We study the error term of the general m-th Riesz mean of the arithmetical function δ k (n) for any positive integer m ≥ 1, namely the error term E m,k (x) where 1 m! n≤x δ k (n) 1 − n x m = M m,k (x) + E m,k (x). We establish a non-trivial upper bound for E m,k (x) , for any integer m ≥ 1.
- Carnegie Mellon University United States
Generating functions, 2010 Mathematics Subject Classification Primary 11A25, Secondary 11N37., FOS: Mathematics, Euler-totient function, [MATH] Mathematics [math], Number Theory (math.NT), [MATH]Mathematics [math], Riemann zeta-function
Generating functions, 2010 Mathematics Subject Classification Primary 11A25, Secondary 11N37., FOS: Mathematics, Euler-totient function, [MATH] Mathematics [math], Number Theory (math.NT), [MATH]Mathematics [math], Riemann zeta-function
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!