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.
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页码：404 / 407
页数：4
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