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

24 papers

math.NT2026

The integer group determinants for $Z_{p}^{n}$

Michael J. Mossinghoff, Christopher Pinner

We give new conditions on allowable powers of a prime $p$ dividing an integer group determinant for the group $Z_{p}^{n}$ , and show these conditions are sharp for $n \leq 5$ . T…

math.NT2024

Mahler's problem and Turyn polynomials

Michael J. Mossinghoff

Mahler's problem asks for the largest possible value of the Mahler measure, normalized by the $L_{2}$ norm, of a polynomial with $\pm 1$ coefficients and large degree. We establish a…

math.NT2024★ 1 cited

A note on trigonometric polynomials for lower bounds of $ζ (s)$

Nicol Leong, Michael J. Mossinghoff

Non-negative trigonometric polynomials satisfying certain properties are employed when studying a number of aspects of the Riemann zeta function. When establishing zero-free region…

math.NT2023

Ideal solutions in the Prouhet-Tarry-Escott problem

Don Coppersmith, Michael J. Mossinghoff, Danny Scheinerman +1

For given positive integers $m$ and $n$ with $m < n$ , the Prouhet-Tarry-Escott problem asks if there exist two disjoint multisets of integers of size $n$ having identical $k$ th momen…

math.NT2022

Explicit zero-free regions for the Riemann zeta-function

Michael J. Mossinghoff, Timothy S. Trudgian, Andrew Yang

We prove that the Riemann zeta-function $ζ (σ + i t)$ has no zeros in the region $σ \geq 1 - 1/ (55.241 (lo g ∣ t ∣)^{2/3} (lo g lo g ∣ t ∣)^{1/3})$ for $∣ t ∣ \geq 3$ . In addition, we improve th…

math.NT2022★ 3 cited

Prime power order circulant determinants