2019 On the middle coefficient of $\Phi _{3p_2p_3}$
Alaa Al-Kateeb
Rocky Mountain J. Math. 49(6): 1755-1767 (2019). DOI: 10.1216/RMJ-2019-49-6-1755

Abstract

The middle coefficient of a polynomial of an even degree $d$ is the coefficient of $x^{{d}/{2}}$. In this note we compute the middle coefficient of the cyclotomic polynomial $\Phi _{3p_2p_3}(x)$ when $p_3\equiv \pm 2,\pm 4, \pm 5\bmod 3p_2$.

Citation

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Alaa Al-Kateeb. "On the middle coefficient of $\Phi _{3p_2p_3}$." Rocky Mountain J. Math. 49 (6) 1755 - 1767, 2019. https://doi.org/10.1216/RMJ-2019-49-6-1755

Information

Published: 2019
First available in Project Euclid: 3 November 2019

zbMATH: 07136576
MathSciNet: MR4027231
Digital Object Identifier: 10.1216/RMJ-2019-49-6-1755

Subjects:
Primary: 11B83
Secondary: 11C08 , 11N56

Keywords: cyclotomic polynomials , middle coefficient

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

Vol.49 • No. 6 • 2019
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