Author

Zhi Qi

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Preprint Jul 2026

A Criterion for Equidistribution along the $\Omega$ Function over Polynomial Sequences with Applications

Let $P (Y_1, ..., Y_d)$ be a certain fixed homogeneous polynomial of integral coefficients. In this paper, we establish a quantitative equidistribution criterion for the ergodic averages along $\Omega (|P (n_1, ..., n_d)|)$. Consequently, by an estimate of Lachand, we prove the following variant of a theorem of Bergels...

Zhi Qi, Cheng Zheng · 0 citations