一类分圆多项式的系数
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