Dana Paquin

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2026

The One-Power Erdős Conjecture for Primes $p \equiv 7 (mod 36)$

Shen Harman, Dana Paquin

A conjecture of Erdős asserts that every odd integer $n > 1$ can be written as $n = 2^{a} + m$ , where $a \geq 0$ is an integer and $m$ is a squarefree positive integer. We study this…

math.NT2025

Convex Lattice Polygons with $k \geq 3$ Interior Points

Dana Paquin, Elli Sumera, Tri Tran

We study the geometry of convex lattice $n$ -gons with $n$ boundary lattice points and $k \geq 3$ collinear interior lattice points. We describe a process to construct a primitive la…

The One-Power Erdős Conjecture for Primes p≡7(mod36)

Convex Lattice Polygons with k≥3 Interior Points

The One-Power Erdős Conjecture for Primes $p \equiv 7 (mod 36)$

Convex Lattice Polygons with $k \geq 3$ Interior Points