Alessandra Migliaccio

collaborators

2 papers

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 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 $n = ϕ (n_{1}) + \dots + ϕ (n_{j})$ , for polynomials $ϕ \in Z [n]$ with $\partial ϕ = k \geq 1$ , $\operatorname…