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math.NT2020★ 1 cited
A Cesàro average for an additive problem with an arbitrary number of prime powers and squares
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
In this paper we extend and improve all the previous results known in literature about weighted average, with Cesàro weight, of representations of an integer as sum of a positive a…
math.NT2020
On the distribution of the digits of quotients of integers and primes
Alessandro Gambini, Remis Tonon, Alessandro Zaccagnini
We investigate the distribution of the digits of quotients of randomly chosen positive integers taken from the interval , improving the previously known error term for the c…