4 papers
Identities for Catalan's constant arising from integrals depending on a parameter
Federica Ferretti, Alessandro Gambini, Daniele Ritelli
In this paper we provide some relationships between Catalan's constant and the and hypergeometric functions, deriving them from some parametric integral…
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.
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…
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…