Dave Platt

activity

20122020

most citedAccurate estimation of sums over zeros of the Riemann zeta-function

20 citations · 52 across the 14 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.NT2014★ 1 cited

On Solving a Curious Inequality of Ramanujan

Dave Platt, Adrian Dudek

Ramanujan proved that the inequality $π (x)^{2} < \frac{e x}{l o g x} π (\frac{x}{e})$ holds for all sufficiently large values of $x$ . Using an explicit estimate for the error i…

math.NT2014

An improved explicit bound on $∣ ζ (1/2 + i t) ∣$

Dave Platt, Tim Trudgian

This article proves the bound $∣ ζ (\frac{1}{2} + i t) ∣ \leq 0.732 t^{\frac{1}{6}} lo g t$ for $t \geq 2$ , which improves on a result by Cheng and Graham. We also show that $|ζ(\frac{1…

On Solving a Curious Inequality of Ramanujan

An improved explicit bound on ∣ζ(1/2+it)∣

An improved explicit bound on $∣ ζ (1/2 + i t) ∣$