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arXiv 2004-04-03 0 views

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

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

Original · EN

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 Zₚ of p-adic integers splits over Zₚ into linear factors.

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