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Tuples of polynomials over finite fields with pairwise coprimality conditions

 

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Opened Access Tuples of polynomials over finite fields with pairwise coprimality conditions
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Author: Arias de Reyna Martínez, Juan
Heyman, Randell
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2018-09
Published in: Finite Fields and Their Applications, 53, 36-63.
Document type: Article
Abstract: Let q be a prime power. We estimate the number of tuples of degree bounded monic polynomials (Q1, . . . , Qv) ∈ (Fq[z])v that satisfy given pairwise coprimality conditions. We show how this generalises from monic polynomials in finite fields to Dedekind domains with a finite norm.
Size: 226.4Kb
Format: PDF

URI: https://hdl.handle.net/11441/76629

DOI: 10.1016/j.ffa.2018.05.006

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