RHOADES, ROBERT C. 2011 <jats:p> We show that the prime divisors of a random polynomial in 𝔽<jats:sub>q</jats:sub>[t] are typically "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–Kac theorem in the function field setting. This approach gives stronger results about the moments of the sequence {ω(f)}<jats:sub>f∈𝔽<jats:sub>q</jats:sub>[t]</jats:sub> than was previously known, where ω(f) is the number of prime divisors of f. </jats:p> application/pdf https://sonar.ch/global/documents/130229 eng info:eu-repo/semantics/altIdentifier/doi/10.1142/s1793042109001980 info:eu-repo/semantics/altIdentifier/issn/1793-0421 info:eu-repo/semantics/openAccess International Journal of Number Theory. - World Scientific Pub Co Pte Lt. - 2009, vol. 05, no. 01, p. 141-152 Algebra and Number Theory STATISTICS OF PRIME DIVISORS IN FUNCTION FIELDS http://purl.org/coar/resource_type/c_6501