A NOTE ON TERNARY CYCLOTOMIC POLYNOMIALS

被引：5

作者：

Zhang, Bin ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 04期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

cyclotomic polynomial; coefficients of cyclotomic polynomial; ternary cyclotomic polynomial; COEFFICIENTS; ORDER-3;

D O I：

10.4134/BKMS.2014.51.4.949

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Phi(n)(x) = Sigma(phi(n))(k=0) a(n, k)x(k) denote the n-th cyclotomic polynomial. In this note, let p < q < r be odd primes, where q not equivalent to 1 (mod p) and r equivalent to -2 (mod pq), we construct an explicit k such that a(pqr, k) = -2.

引用

页码：949 / 955

页数：7

共 50 条

[31] CONGRUENCES OF CYCLOTOMIC POLYNOMIALS
LEFTON, P
TWO-YEAR COLLEGE MATHEMATICS JOURNAL, 1983, 14 (03): : 257 - 258
[32] FACTORING WITH CYCLOTOMIC POLYNOMIALS
BACH, E
SHALLIT, J
MATHEMATICS OF COMPUTATION, 1989, 52 (185) : 201 - 219
[33] On values of cyclotomic polynomials
Motose, K
INTERNATIONAL SYMPOSIUM ON RING THEORY, 2001, : 231 - 234
[34] ON COEFFICIENTS OF CYCLOTOMIC POLYNOMIALS
BLOOM, DM
AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (04): : 372 - &
[35] A combination of cyclotomic polynomials
Stong, R
Komanda, N
AMERICAN MATHEMATICAL MONTHLY, 2003, 110 (08): : 745 - 746
[36] RESULTANTS OF CYCLOTOMIC POLYNOMIALS
CHENG, CCA
MCKAY, JH
WANG, SSS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (04) : 1053 - 1059
[37] CALCULATING CYCLOTOMIC POLYNOMIALS
Arnold, Andrew
Monagan, Michael
MATHEMATICS OF COMPUTATION, 2011, 80 (276) : 2359 - 2379
[38] RESULTANTS OF CYCLOTOMIC POLYNOMIALS
Dresden, Gregory
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2012, 42 (05) : 1461 - 1469
[39] MODIFIED CYCLOTOMIC POLYNOMIALS
Cha, Ae-Kyoung
Kwon, Miyeon
Lee, Ki-Suk
Yang, Seong-Mo
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (06) : 1511 - 1522
[40] Inverse cyclotomic polynomials
Moree, Pieter
JOURNAL OF NUMBER THEORY, 2009, 129 (03) : 667 - 680

← 1 2 3 4 5 →