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math.NT2015★ 20 cited
Moments of averages of generalized Ramanujan sums
Nicolas Robles, Arindam Roy
Let be a positive integer. A generalization of the Ramanujan sum due to Cohen is given by \begin{align} c_{q,β}(n) := \sum\limits_{{{(h,{q^β})}_β} = 1} {e^{2πinh/{q^β}}}, \nonu…
math.NT2015
Koshliakov kernel and identities involving the Riemann zeta function
Atul Dixit, Nicolas Robles, Arindam Roy +1
Some integral identities involving the Riemann zeta function and functions reciprocal in a kernel involving the Bessel functions and are studied. In…