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math.NTAug 1, 2013
6
citations (OpenAlex)
authors
  • Alessandro Languasco
  • Alberto Perelli
  • Alessandro Zaccagnini
institutions
  • University of Genoa
  • University of Padua
  • University of Parma
arXiv abstractPDF
paper

An extension of the pair-correlation conjecture and applications

arXiv:1308.3934 · doi:10.4310/MRL.2016.v23.n1.a10

Abstract

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

minor changes

References in corpus (1)

  • An extended pair-correlation conjecture and primes in short intervals

Cited by in corpus (6)

  • On an Average Goldbach Representation Formula of Fujii
  • Primes and prime ideals in short intervals
  • Primes in explicit short intervals on RH
  • An extended pair-correlation conjecture and primes in short intervals
  • The Prime Number Theorem and Pair Correlation of Zeros of the Riemann Zeta-Function
  • The Selberg integral and a new pair-correlation function for the zeros of the Riemann zeta-function
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