15 citations · 22 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
On the error term in a Parseval type formula in the theory of Ramanujan expansions II
Giovanni Coppola, M. Ram Murty, Biswajyoti Saha
For two arithmetical functions and with absolutely convergent Ramanujan expansions, Murty and Saha have recently derived asymptotic formulas with error term for the convolu…
On the error term in a Parseval type formula in the theory of Ramanujan expansions
M. Ram Murty, Biswajyoti Saha
Given two arithmetical functions we derive, under suitable conditions, asymptotic formulas with error term, for the convolution sums , building on…