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arXiv · 2609.16716

Distribution of squarefree integers with double congruence conditions

Tang Wuji
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Abstract

Given a positive integer $M$ with reduced residue system $Φ_M$, we partition the set of squarefree integers according to some congruence conditions on the number of prime factors in each class $ϕ\in Φ_M$, and prove two relevant equidsitribution results in this setting. We discover the bias phenomenon in some special cases, and formulate a conjecture with numerical support.

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Tang Wuji. 2026-09-15. Distribution of squarefree integers with double congruence conditions. https://arxiv.org/abs/2609.16716

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