A. Zaccagnini

collaborators

3 papers

math.NT2026

On the average number of representations of an integer as a sum of polynomials computed at prime values

Alessandra Migliaccio, Alessandro Zaccagnini

We study the average number of representations of an integer $n$ as $n = I ¨ (n_{1}) + \dots + I ¨ (n_{j})$ , for polynomials $I ¨ \in Z [n]$ with $\partial I ¨ = k \geq 1$ , $\operator…

math.NT2026

The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer

Alessandra Migliaccio, Alessandro Zaccagnini

We extend a result by Ikeda and Suriajaya (2025) to find the asymptotic behaviour of the average number of representations of an integer $n$ , over multiples of a fixed $q \geq 2$ , as…

math.NT2026

On the discrete convolution of the Liouville and MÃ¶bius functions

Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini

In this article we study some properties of the discrete convolution of Liouville function $S (n) := \sum_{m_{1} + m_{2} = n} I^» (m_{1}) I^» (m_{2})$ , which is a Goldbach…