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December 2011 Some conditional results on primes between consecutive squares
Danilo Bazzanella
Funct. Approx. Comment. Math. 45(2): 255-263 (December 2011). DOI: 10.7169/facm/1323705816

Abstract

A well-known conjecture about the distribution of primes asserts that between two consecutive squares there is always at least one prime number. The proof of this conjecture is quite out of reach at present, even under the assumption of the Riemann Hypothesis. The aim of this paper is to provide the upper bounds for the exceptional set for this conjecture under the assumption of some heuristic hypotheses.

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Danilo Bazzanella. "Some conditional results on primes between consecutive squares." Funct. Approx. Comment. Math. 45 (2) 255 - 263, December 2011. https://doi.org/10.7169/facm/1323705816

Information

Published: December 2011
First available in Project Euclid: 12 December 2011

zbMATH: 1260.11058
MathSciNet: MR2895157
Digital Object Identifier: 10.7169/facm/1323705816

Subjects:
Primary: 11N05

Rights: Copyright © 2011 Adam Mickiewicz University

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Vol.45 • No. 2 • December 2011
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