Benjamin C. Ward

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20172026

most citedBad is null

1 citations · 1 across the 9 of their papers we have counts for

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math.NT2021

Counting rational points close to $p$ -adic integers and applications in Diophantine approximation

Benjamin Ward

We find upper and lower bounds on the number of rational points that are $ψ$ -approximations of some $n$ -dimensional $p$ -adic integer. Lattice point counting techniques are used to…

math.NT2021

Simultaneous p-adic Diophantine approximation

Victor Beresnevich, Jason Levesley, Benjamin Ward

The goal of this paper is to develop the theory of weighted Diophantine approximation of rational numbers to $p$ -adic numbers. Firstly, we establish complete analogues of Khintchin…

Counting rational points close to p-adic integers and applications in Diophantine approximation

Simultaneous p-adic Diophantine approximation

Counting rational points close to $p$ -adic integers and applications in Diophantine approximation