Nicol Leong

collaborators

2 papers

math.NT2026

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 $I ¨ $ close to $1$ , for two quantities: $∣ I^¶^{'} (I ¨ + i t) / I^¶ (I ¨ + i t) ∣$ and $∣1/ I^¶ (I ¨ + i t) ∣$ . We correct an error in the liter…

math.NT2024

A note on trigonometric polynomials for lower bounds of $I^¶ (s)$

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…

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

A note on trigonometric polynomials for lower bounds of I^¶(s)

A note on trigonometric polynomials for lower bounds of $I^¶ (s)$