J. Dalton

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

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

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…

math.NT2019

Extreme Covering Systems of the Integers

Jack Dalton, Ognian Trifonov

It is proved that if the least modulus of a distinct covering system is 4, its largest modulus is at least 60; also if the least modulus is 3, the LCM of the moduli is at least 120…