Generalisations of Ramanujan sums for Polynomial rings over finite fields

27 Sep 2019 Andrade J. C. Hanslope J. R. P.

In this paper, we consider a general form of the analogue of Ramanujan's sum in the ring of polynomials over a finite field. We first prove some multiplicative properties of such functions before considering their finite Fourier series and some specific examples... (read more)

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