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arXiv · 2611.01522

Smooth numbers in simultaneous arithmetic progressions

Zhiyuan Yang
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Abstract

We prove a mean value theorem on the distribution of smooth numbers in two simultaneous arithmetic progressions, with generalizing a result of Drappeau. Let $\varepsilon>0$ and $(\log x)^C x^{407/720}$.

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Zhiyuan Yang. 2026-11-01. Smooth numbers in simultaneous arithmetic progressions. https://arxiv.org/abs/2611.01522

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