Number of irreducible polynomials in several variables over finite fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130009We give a formula and an estimation for the number of irreducible polynomials in two (or more) variables over a finite field.A note for American Mathematical Monthly. v2: Correction of an error found out by Dan VellemanCommutative AlgebraAlgebraic GeometryCombinatoricsNumber of irreducible polynomials in several variables over finite fieldstext