Hardy Ramanujan Journal |

Let cq(n) be the Ramanujan sums. Many results concerning Ramanujan-Fourier series f (n) = ∞ q=1 aqcq(n) are obtained by many mathematicians. In this paper we study series of the form f (q) = ∞ n=1 ancq(n), which we call dual Ramanujan-Fourier series. We extend Lucht's theorem and Delange's theorem to this case and obtain some results.

Source : oai:HAL:hal-01671222v1

Volume: Volume 40

Published on: January 11, 2018

Submitted on: November 22, 2016

Keywords: Ramanujan-Fourier series,Ramanujan sums,arithmetic functions,multiplicative functions 2010,MSC : 11A25, 11N37,
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MATH
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Mathematics [math]

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