Averaged Bateman-Horn, polynomial Chowla, and Hasse principle statements hold with probability 1 for degree-d polynomials ordered by height, with arbitrary logarithmic power savings in errors and exceptional sets.
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Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1
Averaged Bateman-Horn, polynomial Chowla, and Hasse principle statements hold with probability 1 for degree-d polynomials ordered by height, with arbitrary logarithmic power savings in errors and exceptional sets.