2000 character limit reached
On moments of the Erdős--Hooley Delta-function (2512.05652v1)
Published 5 Dec 2025 in math.NT
Abstract: For integer $n\geqslant 1$ and real $u$, let $Δ(n,u):=|{d:d\mid n,\,{\rm e}u<d\leqslant {\rm e}{u+1}}|$. The Erdős--Hooley Delta-function is then defined by $Δ(n):=\max_{u\in{\mathbb R}}Δ(n,u).$ We provide new upper bounds for weighted real moments of this function.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.