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http://dx.doi.org/10.4134/BKMS.2015.52.6.1911

ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALS  

ZHANG, BIN (School of Mathematical Sciences Qufu Normal University)
ZHOU, YU (School of Mathematical Sciences Nanjing Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 1911-1924 More about this Journal
Abstract
A cyclotomic polynomial ${\Phi}_n(x)$ is said to be ternary if n = pqr for three distinct odd primes p < q < r. Let A(n) be the largest absolute value of the coefficients of ${\Phi}_n(x)$. If A(n) = 1 we say that ${\Phi}_n(x)$ is flat. In this paper, we classify all flat ternary cyclotomic polynomials ${\Phi}_{pqr}(x)$ in the case $q{\equiv}{\pm}1$ (mod p) and $4r{\equiv}{\pm}1$ (mod pq).
Keywords
ternary cyclotomic polynomial; flat cyclotomic polynomial; coefficient of cyclotomic polynomial;
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