English

On the distribution of divisors of monic polynomials over function fields

Number Theory 2017-09-19 v2

Abstract

This paper deals with function field analogues of famous theorems of Laudau which counted the number of integers which have tt prime factors and R. Hall which researched the distribution of divisors of integers in residue classes.\;We extend the Selberg-Delange method to handle the following problems.\;The number of monic polynomials with degree nn have tt irreducible factors;\;The number of monic polynomials with degree nn in some residue classes have tt irreducible factors and the residue classes distribution of divisors of monic polynomial.\;

Keywords

Cite

@article{arxiv.1709.00820,
  title  = {On the distribution of divisors of monic polynomials over function fields},
  author = {Yiqin He and Bicheng Zhang},
  journal= {arXiv preprint arXiv:1709.00820},
  year   = {2017}
}

Comments

26 pages,2 figures