不可約多項式外文文獻加翻譯(文件)
【正文】 . In this note, we suppose n is a posite, Z_n is a residue class ring mod n, r(x)∈Z_n[x] and r(x) is a monic irreducible polynomial of degree k (k0) over Z_n. 設(shè)n是一個合數(shù),Z_n表示模n的剩余類環(huán),r(x)∈Z_n[x]是一個首一的k(0)次不可約多項式。prime polynomial This paper directly proves that a prime polynomial has the radical solutionsover a finite field. 直接證明了有限域上的不可約多項式有根號解 。 本文引入n是k階摸r(x)的Carmichael數(shù)的定義,全體這樣的數(shù)記為集C_(k,r)(x),由此給出k階Carmichael數(shù)集:C_k={∪C_(k,r)(x)|r(x)過全體Z_n上的首一k次不可約多項式}。 We give a definiti
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