Large and moderate deviation principles for the Erdos-Kac theorem in function fields

Authors：Feng, Tingting; Wang, Shaochen; Yang, Guangyu^*

Source：STATISTICS & PROBABILITY LETTERS, 2020, 163: 108780.

DOI：10.1016/j.spl.2020.108780

• Erdos-Kac theorem
• Finite fields
• Large deviation principle
• Polynomial rings

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).

• Institution
  郑州大学