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math.NT2026
Distributions of unramified extensions of global fields
Will Sawin, Melanie Matchett Wood
Given a finite group , we prove results on the distribution of the prime-to- part of fundamental groups of -covers of the projective line ov…
math.NT2026
Counting number fields of fixed degree by their smallest defining polynomial
Santiago Arango-Piñeros, Fabian Gundlach, Robert J. Lemke Oliver +5
When do two irreducible polynomials with integer coefficients define the same number field? One can define an action of on the space of polynom…