Tuples of polynomials over finite fields with pairwise coprimality conditions

Arias De Reyna Juan; Heyman Randell

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Tuples of polynomials over finite fields with pairwise coprimality conditions

机译：成对共素性条件下有限域上的多项式元组

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Let q be a prime power. We estimate the number of tuples of degree bounded monic polynomials (Q(1),...,Q(upsilon)) is an element of (F-q[z])(upsilon) that satisfy given pairwise coprimality conditions. (C) 2018 Elsevier Inc. All rights reserved.

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《Finite fields and their applications》 |2018年第9期|36-63|共28页
作者
Arias De Reyna Juan; Heyman Randell;
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作者单位

Univ Seville, Dept Math Anal, Seville, Spain;

Univ New South Wales, Sch Math & Stat, Sydney, NSW, Australia;

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正文语种 eng
中图分类
关键词
Relatively prime; Coprime; Polynomials; Finite fields; Dedekind domains;

机译：相对素数;素数;多项式;有限域;Dedekind域;

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1. Counting Tuples Restricted by Pairwise Coprimality Conditions [J] . Juan Arias de Reyna Journal of Integer Sequences . 2015,第3期

机译：成对共素性条件限制的元组计数
2. TOPICS IN DIVISIBILITY: PAIRWISE COPRIMALITY, THE GCD OF SHIFTED SETS AND POLYNOMIAL IRREDUCIBILITY [J] . Heyman Randell Bulletin of the Australian Mathematical Society . 2016,第1期

机译：可分性的主题：对偶惯性，移位集合的GCD和多项式不可约性
3. A coprimality condition on consecutive values of polynomials [J] . Sanna Carlo, Szikszai Marton Bulletin of the London Mathematical Society . 2017,第Pta5期

机译：多项式连续值的共性条件
4. Factorization of polynomials over finite fields and factorization of primes in algebraic number fields [C] . Ming-Deh A. Huang, PMing-Deh A. Huang Annual ACM symposium on Theory of computing;ACM symposium on Theory of computing . 1984

机译：有限域上多项式的因式分解和代数数域中素数的因式分解
5. Value Distribution of Elementary Symmetric Polynomials and Their Perturbations Over Finite Fields [D] . ?Rapello, César A. Serna 2020

机译：基本对称多项式的价值分布及其在有限田中的扰动
6. Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials [O] . Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, -1

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7. Tuples of polynomials over finite fields with pairwise coprimality conditions [O] . de Reyna, Juan Arias, Heyman, Randell 2017

机译：具有成对互易性的有限域上的多项式元组条件

Tuples of polynomials over finite fields with pairwise coprimality conditions

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