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arXiv · 1601.06879

Certain weighted averages of generalized Ramanujan sums

K Vishnu Namboothiri
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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.

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K Vishnu Namboothiri. 2016-01-26. Certain weighted averages of generalized Ramanujan sums. https://doi.org/10.1007/s11139-016-9827-8

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