Abstract
An asymptotic formula is established for the variance of the number of \(k\)-free numbers taken over the residue classes of moduli which are the values of a polynomial.
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Acknowledgments
The author thanks his advisor J. Brüdern for suggesting this topic as master thesis and providing fruitful advice and hints as well as pointing out helpful literature.
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Communicated by J. Schoißengeier.
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Dehnert, F. Sparse variance for \(k\)-free numbers in arithmetic progressions. Monatsh Math 177, 373–396 (2015). https://doi.org/10.1007/s00605-014-0691-6
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DOI: https://doi.org/10.1007/s00605-014-0691-6