On the distribution of r-tuples of squarefree numbers in short intervals

2005/05/16 by Doychin Tolev, Tolev, Doychin
Mathematics · #11N25 #11N36 #11N37 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11N25 #msc:11N36 #msc:11N37

paper · pdf · doi:10.48550/arxiv.math/0505326

13 pages

arxiv created 2005/05/16 · arxiv updated 2009/12/01

Abstract

We cosider the number of r-tuples of squarefree numbers in a short interval. We prove that it cannot be much bigger than the expected value and we also estabish an asymptotic formula if the interval is not very short.

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