26 citations · 232 across the 37 of their papers we have counts for
4 papers · 1 filter
Cesàro averages for Goldbach representations with summands in arithmetic progressions
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
We consider weighted averages of the number of representations of an even integer as a sum of two prime numbers, where each summand lies in a given arithmetic progression modulo a…
Signed harmonic sums of integers with distinct prime factors
Alessandro Gambini, Remis Tonon, Alessandro Zaccagnini
We give some theoretical and computational results on "random" harmonic sums with prime numbers, and more generally, for integers with a fixed number of prime factors.
An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications
Mattia Cafferata, Alberto Perelli, Alessandro Zaccagnini
We prove an extension of the Bourgain-Sarnak-Ziegler theorem and then apply it to bound certain polynomial exponential sums with modular coefficients.
A note on an average additive problem with prime numbers
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
We continue investigations on the average number of representations of a large positive integer as a sum of given powers of prime numbers. The average is taken over a short interva…