English

An extended pair-correlation conjecture and primes in short intervals

Number Theory 2017-05-12 v4

Abstract

In this paper we extend the well-known investigations of Montgomery and Goldston & Montgomery, concerning the pair-correlation function and its relations with the distribution of primes in short intervals, to a more general version of the pair-correlation function.

Cite

@article{arxiv.1311.0597,
  title  = {An extended pair-correlation conjecture and primes in short intervals},
  author = {A. Languasco and A. Perelli and A. Zaccagnini},
  journal= {arXiv preprint arXiv:1311.0597},
  year   = {2017}
}

Comments

a minor correction is inserted

R2 v1 2026-06-22T02:00:11.160Z