An analogue of Ramanujan's sum with respect to regular integers (mod $r$)
Number Theory
2010-09-01 v1
Abstract
An integer is said to be regular (mod ) if there exists an integer such that . In this paper we introduce an analogue of Ramanujan's sum with respect to regular integers (mod ) and show that this analogue possesses properties similar to those of the usual Ramanujan's sum.
Cite
@article{arxiv.1008.5239,
title = {An analogue of Ramanujan's sum with respect to regular integers (mod $r$)},
author = {Pentti Haukkanen and László Tóth},
journal= {arXiv preprint arXiv:1008.5239},
year = {2010}
}