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Cardinality of a floor function set

2019/05/02 by Heyman, Randell
#11A25 11A41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1905.00533

Abstract

Fix a positive integer X. We quantify the cardinality of the set \\lfloor X/n \rfloor\n=1X. We discuss restricting the set to those elements that are prime, semiprime or similar.

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