D. Shiu

activity

20162026

most citedEfficient computation of tight approximations to Chernoff bounds

3 citations · 3 across the 7 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.NT2025

The Fibonacci numbers are not a Heilbronn set

Daniel Shiu

For a real number $θ$ , let $∥ θ ∥$ denote the distance from $θ$ to the nearest integer. A set of positive integers $H$ is a Heilbronn set if for every $α\in \mathbb…

math.NT2023

Identifying reducible k-tuples of vectors with subspace-proximity sensitive hashing/filtering

Gabriella Holden, Daniel Shiu, Lauren Strutt

We introduce and analyse a family of hash and predicate functions that are more likely to produce collisions for small reducible configurations of vectors. These may offer practica…

math.NT2016

Increasing and decreasing prime gaps

D. K. L. Shiu

Let $p_{n}$ denote the $n$ th prime and $g_{n} := p_{n + 1} - p_{n}$ the $n$ th prime gap. We demonstrate the existence of infinitely many values of $n$ for which $g_{n} > g_{n + 1} > \dots > g_{n + m}$ wi…