Uniform estimates for almost primes over finite fields

We establish a new asymptotic formula for the number of polynomials of degree n with k prime factors over a finite field Fq. The error term tends to 0 uniformly in n and in q. Previously, asymptotic formulas were known either for fixed q, through the works of Warlimont [Arch. Math. (Basel) 60 (1993)...

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Détails bibliographiques
Auteurs principaux: Elboim, D, Gorodetsky, O
Format: Journal article
Langue:English
Publié: American Mathematical Society 2022