Jack Dalton

most citedRepresenting positive integers as a sum of a squarefree number and a small prime

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2025

On the intervals for the non-existence of covering systems with distinct moduli

Jack Dalton, Nic Jones

In a research seminar in $2006$ , M. Filaseta, O. Trifonov, and G. Yu showed for each integer $n \geq 3$ there is no distinct covering with all moduli in the interval $[n, 6 n]$ . In $2…

math.NT2023

Lattice points close to a helix

Jack Dalton, Ognian Trifonov

We obtain lower bound for the maximum distance between any three distinct points in an affine lattice which are close to a helix with small curvature and torsion.

math.NT2023★ 1 cited

Representing positive integers as a sum of a squarefree number and a small prime

Ognian Trifonov, Jack Dalton

We prove that every positive integer $n$ which is not equal to $1$ , $2$ , $3$ , $6$ , $11$ , $30$ , $155$ , or $247$ can be represented as a sum of a squarefree number and a prime not ex…