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arXiv · 1705.01363

Expansions of arithmetic functions of several variables with respect to certain modified unitary Ramanujan sums

László Tóth
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Abstract

We introduce new analogues of the Ramanujan sums, denoted by $\widetilde{c}_q(n)$, associated with unitary divisors, and obtain results concerning the expansions of arithmetic functions of several variables with respect to the sums $\widetilde{c}_q(n)$. We apply these results to certain functions associated with $\sigma^*(n)$ and $\phi^*(n)$, representing the unitary sigma function and unitary phi function, respectively.

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László Tóth. 2017-05-03. Expansions of arithmetic functions of several variables with respect to certain modified unitary Ramanujan sums. https://arxiv.org/abs/1705.01363

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