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arXiv · 1009.4432

On sums of Ramanujan sums

Tsz Ho Chan·Angel V Kumchev
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Abstract

Let $c_q(n)$ denote the Ramanujan sum modulo $q$, and let $x$ and $y$ be large reals, with $x = o(y)$. We obtain asymptotic formulas for the sums $$\sum_{n \le y}(\sum_{q \le x} c_q(n))^k \qquad (k = 1, 2).$$

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Tsz Ho Chan, Angel V Kumchev. 2014-08-04. On sums of Ramanujan sums. https://arxiv.org/abs/1009.4432

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