Certain weighted averages of generalized Ramanujan sums
arXiv:1601.06879 · doi:10.1007/s11139-016-9827-8
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.