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

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

2005-05-16

arxiv.org/abs/math/0505326v1

Mathematics

Number Theory

13 pages

Scientific paper

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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