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math.NT2022
On Ramanujan expansions and primes in arithmetic progressions
Maurizio Laporta
A celebrated theorem of Delange gives a sufficient condition for an arithmetic function to be the sum of the associated Ramanujan expansion with the coefficients provided by a prev…
math.NT2015★ 1 cited
Some optimal links between generations of correlation averages
Giovanni Coppola, Maurizio Laporta
For a real-valued and essentially bounded arithmetic function , i.e., , we \enspace give some optimal links be…
math.NT2012
A modified Gallagher's Lemma
Giovanni Coppola, Maurizio Laporta
First we prove a modified version of the famous Lemma on the mean square estimate for exponential sums, by plugging the Cesaro weights in the right hand side of Gallagher's inequal…