Uniform estimates for smooth polynomials over finite fields

We establish new estimates for the number of m-smooth polynomials of degree n over a finite field Fq, where the main term involves the number of m-smooth permutations on n elements. Our estimates imply that the probability that a random polynomial of degree n is m-smooth is asymptotic to the probabi...

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Bibliographic Details
Main Author: Gorodetsky, O
Format: Journal article
Language:English
Published: Discrete Analysis 2023