Nicol Leong

collaborators

3 papers

math.NT2024

Explicit estimates for the logarithmic derivative and the reciprocal of the Riemann zeta function

Nicol Leong

In this article, we give explicit bounds of order $lo g t$ for $σ$ close to $1$ , for two quantities: $∣ ζ^{'} (σ + i t) / ζ (σ + i t) ∣$ and $∣1/ ζ (σ + i t) ∣$ . We correct an error in the literature,…

math.NT2024

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

Explicit estimates for the Riemann zeta function close to the $1$ -line

Michaela Cully-Hugill, Nicol Leong

We provide explicit upper bounds of the order $lo g t / lo g lo g t$ for $∣ ζ^{'} (s) / ζ (s) ∣$ and $∣1/ ζ (s) ∣$ when $σ$ is close to $1$ . These improve existing bounds for $ζ (s)$ on the $1$ -li…

Explicit estimates for the logarithmic derivative and the reciprocal of the Riemann zeta function

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

Explicit estimates for the Riemann zeta function close to the 1-line

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

Explicit estimates for the Riemann zeta function close to the $1$ -line