On the density of irreducible polynomials which generate \(k\)-free polynomials over function fields

DOI10.1016/j.ffa.2021.101979zbMath1486.11152OpenAlexW4200010336MaRDI QIDQ2066404

M. Ram Murty, Seo Young Kim

Publication date: 14 January 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2021.101979

zbMATH Keywords

finite fieldscongruence\(k\)-free polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55) Factorization; primality (11A51)

Cites Work

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• The Arithmetic of Polynomials in a Galois Field
• Artin's Primitive Root Conjecture – A Survey
• NOTE ON AN ASYMPTOTIC FORMULA CONNECTED WITH r-FREE INTEGERS
• The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer
• On an elementary density problem for polynomials over finite fields