Irregularities in the Distribution of Prime Numbers in a Beatty Sequence
Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 738-743
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We 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.
Mots-clés :
prime numbers, irregularities, Maier’s matrix method, Beatty sequence
Tongsomporn, Janyarak; Steuding, Jörn. Irregularities in the Distribution of Prime Numbers in a Beatty Sequence. Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 738-743. doi: 10.4153/S0008439519000778
@article{10_4153_S0008439519000778,
author = {Tongsomporn, Janyarak and Steuding, J\"orn},
title = {Irregularities in the {Distribution} of {Prime} {Numbers} in a {Beatty} {Sequence}},
journal = {Canadian mathematical bulletin},
pages = {738--743},
year = {2020},
volume = {63},
number = {4},
doi = {10.4153/S0008439519000778},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000778/}
}
TY - JOUR AU - Tongsomporn, Janyarak AU - Steuding, Jörn TI - Irregularities in the Distribution of Prime Numbers in a Beatty Sequence JO - Canadian mathematical bulletin PY - 2020 SP - 738 EP - 743 VL - 63 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000778/ DO - 10.4153/S0008439519000778 ID - 10_4153_S0008439519000778 ER -
%0 Journal Article %A Tongsomporn, Janyarak %A Steuding, Jörn %T Irregularities in the Distribution of Prime Numbers in a Beatty Sequence %J Canadian mathematical bulletin %D 2020 %P 738-743 %V 63 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000778/ %R 10.4153/S0008439519000778 %F 10_4153_S0008439519000778
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