26 citations · 232 across the 37 of their papers we have counts for
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Short intervals asymptotic formulae for binary problems with prime powers, II
Alessandro Languasco, Alessandro Zaccagnini
We improve some results about the asymptotic formulae in short intervals for the average number of representations of integers of the forms and $n…
On an average ternary problem with prime powers
Marco Cantarini, Alessandro Gambini, Alessandro Languasco +1
We continue our recent work on averages for ternary additive problems with powers of prime numbers.
Short intervals asymptotic formulae for binary problems with prime powers
Alessandro Languasco, Alessandro Zaccagnini
We prove results about the asymptotic formulae in short intervals for the average number of representations of integers of the forms , with $\ell_1…
A Cesàro average for an additive problem with prime powers
Alessandro Languasco, Alessandro Zaccagnini
In this paper we extend and improve our results on weighted averages for the number of representations of an integer as a sum of two powers of primes. Let …
Sums of one prime power and two squares of primes in short intervals
Alessandro Languasco, Alessandro Zaccagnini
Let be an integer. We prove that a suitable asymptotic formula for the average number of representations of integers , where …
A Cesàro Average of generalised Hardy-Littlewood numbers
Alessandro Languasco, Alessandro Zaccagnini
We continue our recent work on additive problems with prime summands: we already studied the \emph{average} number of representations of an integer as a sum of two primes, and also…
On the average number of representations of an integer as a sum of like prime powers
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
We investigate the average number of representations of a positive integer as the sum of perfect -th powers of primes. We extend recent results of Languasco and the last…