Canadian Mathematical Bulletin, Volume 63, Issue 4, Pages 738-743 , 01/12/2020

Irregularities in the distribution of prime numbers in a beatty sequence

Janyarak Tongsomporn, Jörn Steuding

Abstract

We prove irregularities in the distribution of prime numbers in any Beatty sequence B(α, β), where α is a positive real irrational number of finite type.

Document Type

Article

Source Type

Journal

Keywords

Beatty sequenceIrregularitiesMaier's matrix methodPrime numbers

ASJC Subject Area

Mathematics : Mathematics (all)

Access to Document

DOI : 10.4153/S0008439519000778
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Citations (Scopus)

Bibliography


Tongsomporn, J., & Steuding, J. (2020). Irregularities in the distribution of prime numbers in a beatty sequence. Canadian Mathematical Bulletin, 63(4) 738-743. doi:10.4153/S0008439519000778

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