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

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Showing 2022 · math.NTShow all

2 papers · 2 filters

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

Michael J. Mossinghoff, Christopher Pinner

Newman showed that for primes $p \geq 5$ an integral circulant determinant of prime power order $p^{t}$ cannot take the value $p^{t + 1}$ once $t \geq 2.$ We show that many other values…