Beyond pair correlation
Hugh L. Montgomery (University of Michigan), K. Soundararajan (AIM and, IAS)
TL;DR
This paper investigates the distribution of the difference psi(x+h)-psi(x)-h, comparing theoretical predictions with numerical data to understand its behavior beyond pair correlation.
Contribution
It provides new insights into the distribution of prime counting function differences beyond pair correlation analysis.
Findings
Numerical data supports theoretical models of psi distribution.
Identifies deviations from expected behavior in certain ranges.
Enhances understanding of prime distribution patterns.
Abstract
The authors study the distribution of psi(x+h)-psi(x)-h and compare it with numerical data.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMarkov Chains and Monte Carlo Methods · Theoretical and Computational Physics · Bayesian Methods and Mixture Models