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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 295 - colloquium
jack sonn
technion, haifa, israel
irreducible polynomials which are reducible locally everywhere
abstract:
there exists a polynomial $f(x)$ of degree $n$ with integer coefficients which is irreducible over the rationals but reducible modulo $p$ for all primes $p$ if and only if $n$ is not a prime number. the same result holds with "reducible mod $p$" replaced by "reducible over $q_p$", and generalizes to arbitrary global fields. (joint work with bob guralnick and murray schacher)
host: adrian wadsworth
january 13, 2005
3:00 pm
ap&m 6438
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