The probability that a random monic p-adic polynomial splits into linear factors

Details The probability that a random monic p-adic polynomial splits into linear factors The probability that a random monic p-adic polynomial splits into linear factors

2004-04-03

arxiv.org/abs/math/0404057v1

Mathematics

Number Theory

24+2 pages, incl. 2 figures. Submitted to Experimental Mathematics

Scientific paper

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.

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