SOLVABILITY OF A SYSTEM OF POLYNOMIAL EQUATIONS MODULO PRIMES

被引：1

作者：

Jarviniemi, Olli ^{[1
]}

机构：

[1] Univ Turku, Dept Math & Stat, FI-20014 Turun, Finland

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2022年 / 106卷 / 03期

关键词：

prime numbers; polynomial congruences; prime divisors of polynomials; algebraic numbers;

D O I：

10.1017/S0004972722000260

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a system of polynomial equations in one or more variables with integer coefficients. We show that there exists a univariate polynomial D is an element of Z[x] such that F is solvable modulo p if and only if the equation D(x) 0 (mod p) has a solution.

引用

页码：404 / 407

页数：4

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