Le Boudec, Pierre2018-12-132018-12-132018-12-132018-10-0110.1007/s00209-017-2023-8https://infoscience.epfl.ch/handle/20.500.14299/152879WOS:000442995600018investigate the error term of the asymptotic formula for the number of squarefree integers up to some bound, and lying in some arithmetic progression a (mod q). In particular, we prove an upper bound for its variance as a varies over (Z/qZ)(x) which considerably improves upon earlier work of Blomer.Mathematicssquarefree integersarithmetic progressionsvariancefree numberstext::journal::journal article::research article