Alessandro Gambini

activity

20172026

most citedOn the average number of representations of an integer as a sum of like prime powers

4 citations · 7 across the 14 of their papers we have counts for

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math.NT2017

A Diophantine approximation problem with two primes and one $k$ -th power of a prime

Alessandro Gambini, Alessandro Languasco, Alessandro Zaccagnini

We refine a result of the last two Authors of [8] on a Diophantine approximation problem with two primes and a $k$ -th power of a prime which was only proved to hold for $1 < k < 4/3$ .…

math.NT2017★ 1 cited

Diophantine approximation with one prime, two squares of primes and one $k$ -th power of a prime

Alessandro Gambini

Let $1 < k < 14/5$ , $λ_{1}, λ_{2}, λ_{3}$ and $λ_{4}$ be non-zero real numbers, not all of the same sign such that $λ_{1} / λ_{2}$ is irrational and let $ω$ be a real number. We prove that the inequal…

A Diophantine approximation problem with two primes and one k-th power of a prime

Diophantine approximation with one prime, two squares of primes and one k-th power of a prime

A Diophantine approximation problem with two primes and one $k$ -th power of a prime

Diophantine approximation with one prime, two squares of primes and one $k$ -th power of a prime