Square-free numbers in arithmetic progressions

2014/02/04 by Ramon M. Nunes, Nunes, Ramon M. · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1402.0684

Contains a generalization of the main theorem in the previous version, 31 pages

arxiv created 2014/07/06 · arxiv updated 2014/07/08

Abstract

We give asymptotics for correlation sums linked with the distribution of squarefree numbers in arithmetic progressions over a fixed modulus. As a particular case we improve a result of Blomer concerning the variance.

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