Pair correlation and twin primes revisited
Brian Conrey, Jonathan P. Keating

TL;DR
This paper revisits the relationship between pair correlation and twin primes, employing advanced methods on moments and divisor correlations to explore conjectural ratios involving zeta functions.
Contribution
It introduces a heuristic approach to derive conjectural ratios for two zeta functions over two zeta functions using divisor correlation methods.
Findings
Heuristic derivation of ratios involving zeta functions.
Insights into pair correlation and twin primes.
Application of divisor correlation techniques.
Abstract
We use the methods developed in our papers on moments and divisor correlations to derive heuristically the conjectural ratios formula for two zetas over two zetas.
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