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arXiv · 1008.5239

An analogue of Ramanujan's sum with respect to regular integers (mod $r$)

Pentti Haukkanen·László Tóth
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Abstract

An integer $a$ is said to be regular (mod $r$) if there exists an integer $x$ such that $a^2x\equiv a\pmod{r}$. In this paper we introduce an analogue of Ramanujan's sum with respect to regular integers (mod $r$) and show that this analogue possesses properties similar to those of the usual Ramanujan's sum.

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Pentti Haukkanen, László Tóth. 2010-08-31. An analogue of Ramanujan's sum with respect to regular integers (mod $r$). https://arxiv.org/abs/1008.5239

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