What's new12/2/2025

Quantitative correlations and some problems on prime factors of consecutive integers

Terence Tao
Joni Teravainen and I have uploaded to the arXiv our paper “Quantitative correlations and some problems on prime factors of consecutive integers“. This paper applies modern analytic number theory tools – most notably, the Maynard sieve and the recent correlation estimates for bounded multiplicative functions of Pilatte – to resolve (either partially or fully) some […]