A1 Refereed original research article in a scientific journal
Prime-representing functions
Authors: Matomäki Kaisa
Publisher: SPRINGER
Publication year: 2010
Journal: Acta Mathematica Hungarica
Journal name in source: ACTA MATHEMATICA HUNGARICA
Journal acronym: ACTA MATH HUNG
Number in series: 4
Volume: 128
Issue: 4
First page : 307
Last page: 314
Number of pages: 8
ISSN: 0236-5294
DOI: https://doi.org/10.1007/s10474-010-9191-x
Abstract
We construct prime-representing functions. In particular we show that there exist real numbers alpha > 1 such that aOE alpha (2) (n) aOE parts per thousand is prime for all n a a"center dot. Indeed the set consisting of such numbers alpha has the cardinality of the continuum.
We construct prime-representing functions. In particular we show that there exist real numbers alpha > 1 such that aOE alpha (2) (n) aOE parts per thousand is prime for all n a a"center dot. Indeed the set consisting of such numbers alpha has the cardinality of the continuum.
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