4 citations · 7 across the 11 of their papers we have counts for
5 papers · 1 filter
Explicit bounds for the Riemann zeta-function on the 1-line
Ghaith A. Hiary, Nicol Leong, Andrew Yang
Explicit estimates for the Riemann zeta-function on the -line are derived using various methods, in particular van der Corput lemmas of high order and a theorem of Borel and Car…
Toward optimal exponent pairs
Timothy S. Trudgian, Andrew Yang
We quantify the set of known exponent pairs and develop a framework to compute the optimal exponent pair for an arbitrary objective function. Applying this methodology,…
On the generalised Dirichlet divisor problem
Chiara Bellotti, Andrew Yang
We improve unconditional estimates on , the remainder term of the generalised divisor function, for large . In particular, we show that $Δ_k(x) \ll x^{1 - 1.889k^{-2/3}}…
An explicit sub-Weyl bound for
Dhir Patel, Andrew Yang
In this article we prove an explicit sub-Weyl bound for the Riemann zeta function on the critical line . In particular, we show that $|ζ(1/2 + it)| \le 66.7\,…
Explicit bounds on in the critical strip and a zero-free region
Andrew Yang
We derive explicit upper bounds for the Riemann zeta-function on the lines for integer . This is used to show that the zeta-function has no…