3 papers
math.NT2026
A new class of Correlations insisting on Ramanujan expansions
Giovanni Coppola
Studying Correlations with Ramanujan Expansions, we arrive to present the new class of, say, Two-Seasons Correlations, abbr. T-S, as a natural set expressing some of the features o…
math.NT2025
Absolute convergence of Ramanujan expansions admits coefficients' coexistence of Ramanujan expansions
Giovanni Coppola
In this self-contained short note, we prove that {\it every arithmetic function} {\it has infinitely many Ramanujan coefficients} {\it giving an absolutely convergent Raman…
math.NT2024
On Ramanujan smooth expansions for a general arithmetic function
Giovanni Coppola
We study in detail the Ramanujan smooth expansions, for arithmetic functions; we start with the most general ones, for which we supply the "local expansions", for arguments wit…