The probability that a random monic p-adic polynomial splits into linear factors
arXiv:math/0404057
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.
24+2 pages, incl. 2 figures. Submitted to Experimental Mathematics