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research article
Statistics Of Prime Divisors In Function Fields
Rhoades, Robert C.
We show that the prime divisors of a random polynomial in F-q[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 Erdos-Kac theorem in the function field setting. This approach gives stronger results about the moments of the sequence {omega(f)}(f is an element of Fq)[t] than was previously known, where omega(f) is the number of prime divisors of f.
Type
research article
Web of Science ID
WOS:000263879600010
Authors
Rhoades, Robert C.
Publication date
2009
Published in
Volume
5
Start page
141
End page
152
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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