Ognian Trifonov

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.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.NT2022

Bounding the number of lattice points near a convex curve by curvature

Ralph Howard, Ognian Trifonov

We prove explicit bounds on the number of lattice points on or near a convex curve in terms of geometric invariants such as length, curvature, and affine arclength. In several of o…