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math.NT2014
Probabilistic Galois Theory over -adic Fields
Benjamin L. Weiss
We estimate several probability distributions arising from the study of random, monic polynomials of degree with coefficients in the integers of a general -adic field $K_{\m…
math.NT2014★ 6 cited
Splitting Behavior of -Polynomials
Jeffrey C. Lagarias, Benjamin L. Weiss
We analyze the probability that, for a fixed finite set of primes S, a random, monic, degree n polynomial f(x) with integer coefficients in a box of side B around 0 satisfies: (i)…