G. Coppola

activity

20072020

most citedFinite Ramanujan expansions and shifted convolution sums of arithmetical functions

14 citations · 70 across the 30 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 4 cited

Finite and infinite Euler products of Ramanujan expansions

Giovanni Coppola

All the $F :$ N $\to$ C having Ramanujan expansion $F (a) = \sum_{q = 1}^{\infty} G (q) c_{q} (a)$ (here $c_{q} (a)$ is the Ramanujan sum) pointwise converging in $a \in$ N, with $G :$ N$\righ…

math.NT2019★ 3 cited

A smooth shift approach for a Ramanujan expansion

Giovanni Coppola

All arithmetical functions $F$ satisfying Ramanujan Conjecture, i.e., $F (n) ≪_{ε} n^{ε}$ , and with $Q -$ smooth divisors, i.e., with Eratosthenes transform $F':=F…