A. Chandran

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math.NT2025

Two identities involving Cohen-Ramanujan expansions

Arya Chandran, K Vishnu Namboothiri

An arithmetical function $f$ is said to admit a \emph{Cohen-Ramanujan expansion} $f (n) := r \sum f (r) c_{r}^{s} (n)$ , if the series on the right hand side converges for…

math.NT2024

Some asymptotic formulae involving Cohen-Ramanujan expansions

Arya Chandran, Vishnu Namboothiri K

Cohen-Ramanujan sum, denoted by $c_{r}^{s} (n)$ , is an exponential sum similar to the Ramanujan sum $c_{r} (n) := h = 1 (h, r) = 1 \sum r e^{\frac{2 I ¨ inh}{r}}$ . An arith…