2 01 7 on the Logarithmic Probability That a Random Integral Ideal Is a - Free
نویسنده
چکیده
Abstract. This extends a theorem of Davenport and Erdös [7] on sequences of rational integers to sequences of integral ideals in arbitrary number fields K. More precisely, we introduce a logarithmic density for sets of integral ideals in K and provide a formula for the logarithmic density of the set of so-called A -free ideals, i.e. integral ideals that are not multiples of any ideal from a fixed set A .
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تاریخ انتشار 2017