A REMARK ON THE CHEBOTAREV THEOREM ABOUT ROOTS OF UNITY

A REMARK ON THE CHEBOTAREV THEOREM ABOUT ROOTS OF UNITY
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发表时间:
2007
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通讯作者:
F. Pakovich
F. Pakovich
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作者:
F. Pakovich

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让!让!是具有元素ai,j =!ij,1!i,j!n在哪!= e 2!!“1/n,n“N。Chebotarev定理指出,如果n是一个素数,那么任何子式!不为零。在本注记中,我们对复合n提供了类似的陈述。
Let ! be a matrix with entries ai,j = ! ij , 1 ! i,j ! n, where ! = e 2! ! " 1/n , n " N. The Chebotarev theorem states that if n is a prime then any minor of ! is non-zero. In this note we provide an analogue of this statement for composite n.