Andrew Yang

activity

20132026

most citedOn the number of integral binary

n

-ic forms having bounded Julia invariant

4 citations · 7 across the 11 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

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

An improved explicit estimate for $ζ (1/2 + i t)$

Ghaith A. Hiary, Dhir Patel, Andrew Yang

An explicit subconvex bound for the Riemann zeta function $ζ (s)$ on the critical line $s = 1/2 + i t$ is proved. Previous subconvex bounds relied on an incorrect version of the Kusmin-L…

math.NT2022

Some explicit estimates for the error term in the prime number theorem

Daniel R. Johnston, Andrew Yang

By combining and improving recent techniques and results, we provide explicit estimates for the error terms $∣ π (x) - li (x) ∣$ , $∣ θ (x) - x ∣$ and $∣ ψ (x) - x ∣$ appearing in the prime…

Explicit zero-free regions for the Riemann zeta-function

An improved explicit estimate for ζ(1/2+it)

Some explicit estimates for the error term in the prime number theorem

An improved explicit estimate for $ζ (1/2 + i t)$