A. Zaccagnini

activity

20052026

most citedThe number of Goldbach representations of an integer

26 citations · 232 across the 37 of their papers we have counts for

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4 papers · 1 filter

math.NT2026

The average number of representations of an integer as a sum of three or more primes, over multiples of a fixed integer

Alessandra Migliaccio, Alessandro Zaccagnini

We extend a result by Ikeda and Suriajaya (2025) to the average number of representations of an integer as a sum of an arbitrary number $j \geq 3$ of primes. We show that the corresp…

math.NT2026

On the discrete convolution of the Liouville and Möbius functions

Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini

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

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…