一类分圆多项式的系数

陈小松. 一类分圆多项式的系数[J]. 云南大学学报(自然科学版), 2005, 27(1): 14-17.

引用本文:

陈小松. 一类分圆多项式的系数[J]. 云南大学学报(自然科学版), 2005, 27(1): 14-17.

CHEN Xiao-song. A class of coefficients of cyclotomic polynomials[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(1): 14-17.

Citation:

CHEN Xiao-song. A class of coefficients of cyclotomic polynomials[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(1): 14-17.

A class of coefficients of cyclotomic polynomials

摘要: 利用将多项式分项相除的分圆多项式系数的简洁算法,证明了当33qr(x)的系数中.当r-q≡0(mod3)时,F3qr(x)的系数中没有-2出现,当r+q≡0(mod3)时;F3qr(x)的系数中没有2出现.

Abstract: By means of a calculate simplified way of coefficients of Cyclotomic polynomials,it is proved that 2 and -2 are not simultaneity existence in the coefficients of Cyclotomic polynomial F3qr(x).The results have also been proved that -2 isn’t appear in the coefficients of F3qr(x) if r-q≡0(mod 3) and that 2 isn’t appear in the coefficients of F3qr(x) if r+q≡0(mod 3),where 3

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