Connor O'Reilly

collaborators

2 papers

math.NT2026

Quantitative results on the $k$ -dimensional Duffin-Schaeffer conjecture

Connor O'Reilly

For all $k \geq 2$ , we provide almost-sharp quantitative results for the $k$ -dimensional Duffin-Schaeffer conjecture, analogous to recent developments in the 1-D case of Koukoulopou…

cs.IT2024

Cubic power functions with optimal second-order differential uniformity

Connor O'Reilly, Ana SÄlÄgean

We discuss the second-order differential uniformity of vectorial Boolean functions. The closely related notion of second-order zero differential uniformity has recently been studie…

Quantitative results on the k-dimensional Duffin-Schaeffer conjecture

Cubic power functions with optimal second-order differential uniformity

Quantitative results on the $k$ -dimensional Duffin-Schaeffer conjecture