Wayne M. Lawton

collaborators

3 papers

math.NT2026

Topological and Diophantine properties of lattice subset projections

Wayne M Lawton

Fix $1 \leq n < m, k = m - n .$ The Grassmannian $G r (n, m)$ is a compact $k n$ -dimensional manifold with a unique rotation invariant probability measure $I ¨ _{n} .$ For $W \in G r (n, m)$ , $P_…

math.NT2026

Joint distribution of leftmost digits in positional notation and Schanuels's conjecture

Wayne M Lawton

Assume that $n \geq 2$ and $B = (b_{1}, ..., b_{n})$ has distince integer entries $\geq 3.$ For $x > 0$ let $d_{B} (x) := (d_{b_{1}} (x), ..., d_{b_{n}} (x))$ where $d_{b_{i}} (x) \in {1, ..., b_{i} - 1}$ …

math.AG2025

Fourier Quasicrystals on $R^{n}$

Wayne M Lawton, August K. Tsikh

This paper has three aims. First, for $n \geq 1$ we construct a family of real-rooted trigonometric polynomial maps $P : C^{n} \mapsto C^{n}$ whose divisors are Fourier…

Topological and Diophantine properties of lattice subset projections

Joint distribution of leftmost digits in positional notation and Schanuels's conjecture

Fourier Quasicrystals on Rn

Fourier Quasicrystals on $R^{n}$