Certain weighted averages of generalized Ramanujan sums
Number Theory
2018-05-08 v1
Abstract
We derive certain identities involving various known arithmetical functions and a generalized version of Ramanujan sum. L. Toth constructed certain weighted averages of Ramanujan sums with various arithmetic functions as weights. We choose a generalization of Ramanujan sum given by E. Cohen and derive the weighted averages corresponding to the versions of the weighted averages established by Toth.
Keywords
Cite
@article{arxiv.1601.06879,
title = {Certain weighted averages of generalized Ramanujan sums},
author = {K Vishnu Namboothiri},
journal= {arXiv preprint arXiv:1601.06879},
year = {2018}
}