A note on the van der Waerden conjecture on random polynomials with symmetric Galois group for function fields

Erich L. Kaltofen

Let f(x) = x^n + (a[n-1] t + b[n-1]) x^(n-1) + ... + (a[0] t + b[0]) be of constant degree n in x and degree <= 1 in t, where all a[i],b[i] are randomly and uniformly selected from…