Irregularities in the Distribution of Prime Numbers in a Beatty Sequence
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Published:2019-12-16
Issue:4
Volume:63
Page:738-743
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. Math. Bull.
Author:
Tongsomporn Janyarak,Steuding Jörn
Abstract
AbstractWe prove irregularities in the distribution of prime numbers in any Beatty sequence ${\mathcal{B}}(\unicode[STIX]{x1D6FC},\unicode[STIX]{x1D6FD})$, where $\unicode[STIX]{x1D6FC}$ is a positive real irrational number of finite type.
Publisher
Canadian Mathematical Society
Subject
General Mathematics