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

Doychin Tolev
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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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Doychin Tolev. 2005-05-16. On the distribution of r-tuples of squarefree numbers in short intervals. https://arxiv.org/abs/math/0505326

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