Large and moderate deviation principles for the Erdös–Kac theorem in function fields

Tingting Feng, Shaochen Wang and Guangyu Yang

Statistics & Probability Letters, 2020, vol. 163, issue C

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 Erdös–Kac theorem in the polynomial rings of finite fields, which extends the results of Mehrdad and Zhu (2016).

Keywords: Erdös–Kac theorem; Finite fields; Large deviation principle; Polynomial rings (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spl.2020.108780

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