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math.NT2007
A new family of exceptional polynomials in characteristic two
Robert M. Guralnick, Joel E. Rosenberg, Michael E. Zieve
We produce a new family of polynomials f(x) over fields K of characteristic 2 which are exceptional, in the sense that f(x)-f(y) has no absolutely irreducible factors in K[x,y] bes…
math.NT2004
The probability that a random monic p-adic polynomial splits into linear factors
Joe Buhler, Daniel Goldstein, David Moews +1
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 split…