The probability that a random monic p-adic polynomial splits into linear factors
Number Theory
2007-05-23 v1
Abstract
Let n be a positive integer and let p be a prime. We calculate the probability that a random monic polynomial of degree n with coefficients in the ring Z_p of p-adic integers splits over Z_p into linear factors.
Cite
@article{arxiv.math/0404057,
title = {The probability that a random monic p-adic polynomial splits into linear factors},
author = {Joe Buhler and Daniel Goldstein and David Moews and Joel Rosenberg},
journal= {arXiv preprint arXiv:math/0404057},
year = {2007}
}
Comments
24+2 pages, incl. 2 figures. Submitted to Experimental Mathematics