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2015-09-18, 12:54   #3
R.D. Silverman

Nov 2003

26×113 Posts

Quote:
 Originally Posted by R.D. Silverman One may find a lot of useful information in: http://websites.math.leidenuniv.nl/a...chebotarev.pdf
I should have added (from elementary algebraic number theory) that f(x) will be
divisible by p for some x if

(1) p divides the discriminant and
(2) the polynomial is not constant mod p.

Such primes p ramify.