4 citations · 4 across the 7 of their papers we have counts for
4 papers · 2 filters
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.
On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums
Marco Cantarini, Jacopo D'Aurizio
In this work we continue the investigation about the interplay between hypergeometric functions and Fourier-Legendre () series expansions. In the section "Hypergeometr…
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…
Explicit formula for the average of Goldbach and prime tuples representations
Marco Cantarini
Let be the Von Mangoldt function, let \[ r_{G}\left(n\right)=\underset{{\scriptstyle m_{1}+m_{2}=n}}{\sum_{m_{1},m_{2}\leq n}}Λ\left(m_{1}\right)Λ\left(m_{2}\righ…