Year: 2021
Type: preprint
Abstract: Within the setting of rare event modelling, the method of level sets allows us to define an equivalence relation over rare events with distinct rates of entropy production. This method allows us to clarify the relation between the empirical density of primes and their source distribution which then allows us to address Cramér's conjecture, an open problem in probabilistic number theory. As a natural consequence, this analysis places strong epistemic limits on the application of machine learning to analyse the distribution of primes.
Source: arXiv (Cornell University)
Author: Rocke, Aidan
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3209667199