, Volume 16, Issue 2, pp 131-161

On the index of fractions with square-free denominators in arithmetic progressions

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Abstract

We prove asymptotic formulas for the first and second moments of the index of fractions with square-free denominators of order Q streaming in a given arithmetic progression as Q→∞.

A. Zaharescu was supported by NSF grant number DMS-0456615.
This research was also partially supported by the CERES Program 4-147/2004 of the Romanian Ministry of Education and Research.