@inproceedings{RHOADESproblem2007StatisticsOP,
title={Statistics of Prime Divisors in Function Fields},
author={ROBERT C. RHOADESproblem},
year={2007}
}

ROBERT C. RHOADESproblem

Published 2007

ROBERT C. RHOADES Abstra t. We show that the prime divisors of a random polynomial in Fq[t] are typi ally Poisson Distributed . This result is analogous to the result in Z of Granville [1℄. Along the way, we use a sieve developed by Granville and Soundararajan [2℄ to give a simple proof of the Erdös-Ka theorem in the fun tion eld setting. This approa h gives stronger results about the moments of the sequen e {ω(f)}f∈Fq [t] than was previously known, where ω(f) is the number of prime divisors of… CONTINUE READING