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

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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

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Number Theory, 11S05

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http://salesiana.dossiersoluciones.com/handle/123456789/70712

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404057
 http://arxiv.org/abs/math/0404057

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arXiv