Moments of the distribution of $k$-free numbers in short intervals and arithmetic progressions

Ramon M. Nunes

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arXiv · 2010.03696

Moments of the distribution of $k$-free numbers in short intervals and arithmetic progressions

Ramon M. Nunes

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Abstract

We show estimates for the distribution of $k$-free numbers in short intervals and arithmetic progressions. We argue that, at least in certain ranges, these estimates agree with a conjecture by H. L. Montgomery.

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Ramon M. Nunes. 2020-10-08. Moments of the distribution of $k$-free numbers in short intervals and arithmetic progressions. https://arxiv.org/abs/2010.03696

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