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

Joe Buhler·Daniel Goldstein·David Moews·Joel Rosenberg
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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.

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Joe Buhler, Daniel Goldstein, David Moews, Joel Rosenberg. 2004-04-03. The probability that a random monic p-adic polynomial splits into linear factors. https://arxiv.org/abs/math/0404057

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