Michael J. Mossinghoff

activity

20052026

most citedSlices, slabs, and sections of the unit hypercube

25 citations · 47 across the 19 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.NT2014★ 3 cited

Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function

Michael J. Mossinghoff, Timothy S. Trudgian

We prove that the Riemann zeta-function $ζ (σ + i t)$ has no zeros in the region $σ \geq 1 - 1/ (5.573412 lo g ∣ t ∣)$ for $∣ t ∣ \geq 2$ . This represents the largest known zero-free region w…

math.MG2014

Most Reinhardt polygons are sporadic

Kevin G. Hare, Michael J. Mossinghoff

A \textit{Reinhardt polygon} is a convex $n$ -gon that, for $n$ not a power of $2$ , is optimal in three different geometric optimization problems, for example, it has maximal perime…