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AN AVERAGE THEOREM FOR TUPLES OF k ‐FREE NUMBERS IN ARITHMETIC PROGRESSIONS
Mathematika ( IF 0.8 ) Pub Date : 2020-10-26 , DOI: 10.1112/mtk.12058
Tomos Parry 1
Affiliation  

We obtain an asymptotic formula, in the spirit of the Montgomery-Hooley refinement of the Barban-Davenport-Halberstam Theorem, for the variance associated with tuples of k-free numbers in arithmetic progressions.

中文翻译:

算术过程中 k-自由数元组的平均定理

我们根据 Barban-Davenport-Halberstam 定理的 Montgomery-Hooley 改进的精神,获得了一个渐近公式,用于与等差级数中无 k 数的元组相关的方差。
更新日期:2020-10-26
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