Resultants and discriminants of Chebyshev and related polynomials

被引：27
|
作者：
Dilcher, K [1 ]
Stolarsky, KB
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 357卷 / 03期
关键词：
resultants; discriminants; Chebyshev polynomials; cyclotomic polynomials;
D O I：
10.1090/S0002-9947-04-03687-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the resultants with respect to x of certain linear forms in Chebyshev polynomials with argument x are again linear forms in Chebyshev polynomials. Their coefficients and arguments are certain rational functions of the coefficients of the original forms. We apply this to establish several related results involving resultants and discriminants of polynomials, including certain self-reciprocal quadrinomials.
引用
收藏
页码：965 / 981
页数：17
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