Remarks on generalized Ramanujan sums and even functions
Number Theory
2007-05-23 v1
Abstract
We prove a simple formula for the main value of -even functions and give applications of it. Considering the generalized Ramanujan sums involving regular systems of divisors we show that it is not possible to develop a Fourier theory with respect to , like in the the usual case of classical Ramanujan sums .
Keywords
Cite
@article{arxiv.math/0610358,
title = {Remarks on generalized Ramanujan sums and even functions},
author = {László Tóth},
journal= {arXiv preprint arXiv:math/0610358},
year = {2007}
}