Remarks on generalized Ramanujan sums and even functions
Abstract
We prove a simple formula for the main value of r-even functions and give applications of it. Considering the generalized Ramanujan sums cA(n,r) involving regular systems A of divisors we show that it is not possible to develop a Fourier theory with respect to cA(n,r), like in the the usual case of classical Ramanujan sums c(n,r).
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