An extension of the pair-correlation conjecture and applications
Alessandro Languasco, Alberto Perelli, Alessandro Zaccagnini
TL;DR
This paper explores an extension of Montgomery's pair-correlation conjecture and investigates its implications for understanding the distribution of prime numbers.
Contribution
It introduces a new extension of the pair-correlation conjecture and analyzes its potential applications in prime number distribution problems.
Findings
Extended the pair-correlation conjecture framework
Linked the conjecture to prime distribution problems
Provided insights into prime number patterns
Abstract
We study an extension of Montgomery's pair-correlation conjecture and its relevance in some problems on the distribution of prime numbers.
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