An extension of the pair-correlation conjecture and applications

Alessandro Languasco; Alberto Perelli; Alessandro Zaccagnini

doi:10.4310/MRL.2016.v23.n1.a10

An extension of the pair-correlation conjecture and applications

Number Theory 2016-08-03 v3

Authors: Alessandro Languasco , Alberto Perelli , Alessandro Zaccagnini

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Abstract

We study an extension of Montgomery's pair-correlation conjecture and its relevance in some problems on the distribution of prime numbers.

Keywords

pair-correlation conjecture Montgomery's conjecture prime numbers distribution of primes Riemann zeta function

Cite

@article{arxiv.1308.3934,
  title  = {An extension of the pair-correlation conjecture and applications},
  author = {Alessandro Languasco and Alberto Perelli and Alessandro Zaccagnini},
  journal= {arXiv preprint arXiv:1308.3934},
  year   = {2016}
}