Voronoi summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen type identities

Shashank Charge, Atul Dixit

We derive Vorono\"{\dotlessi} summation formulas for the Liouville function $\hat{I}»(n)$, the Möbius function $\hat{I}¼(n)$, and for $d^2(n)$, where $d(n)$ is the divisor function. The for…