Timothy S. Trudgian

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

3 citations · 3 across the 2 of their papers we have counts for

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2021

Fake Mu's

Greg Martin, Michael J. Mossinghoff, Timothy S. Trudgian

Let $f (n)$ denote a multiplicative function with range ${- 1, 0, 1}$ , and let $F (x) = \sum_{n \leq x} f (n)$ . Then $F (x) / x = a x + b + E (x)$ , where $a$ and $b$ are consta…

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…