Abstract Recently, there is an increasing interest to study number theory by using large and moderate deviations from probability theory. In this paper, we prove the large and moderate deviation principles for the Erdos–Kac theorem in the polynomial rings of finite fields, which extends the results of Mehrdad and Zhu (2016).

中文翻译：

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函数域中 Erdös-Kac 定理的大中偏差原理

摘要 最近，通过使用与概率论的大中度偏差来研究数论的兴趣越来越大。在本文中，我们在有限域的多项式环中证明了 Erdos-Kac 定理的大中偏差原理，扩展了 Mehrdad 和 Zhu (2016) 的结果。