使用任意多个素数的Schönemann-Eisenstein-Dumas型不可约条件
Schönemann-Eisenstein-Dumas-type irreducibility conditions that use arbitrarily many prime numbers
摘要：
著名的不可约性标准的舍内曼-爱森斯坦和大仲马依赖于信息的整除系数的多项式由一个单一的素数。本文给出了整系数多项式的Schönemann-Eisenstein-Dumas型不可约准则，这些准则是由其系数关于任意多个素数的可除性条件给出的.一个特别的注意将支付给那些不可约的标准，需要信息的整除系数由两个不同的素数。
英文摘要：
The famous irreducibility criteria of Schönemann-Eisenstein and Dumas rely on information on the divisibility of the coefficients of a polynomial by a single prime number. In this paper we provide several irreducibility criteria of Schönemann-Eisenstein-Dumas-type for polynomials with integer coefficients, criteria that are given by some divisibility conditions for their coefficients with respect to arbitrarily many prime numbers. A special attention will be paid to those irreducibility criteria that require information on the divisibility of the coefficients by two distinct prime numbers.
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