Remarks on the Coefficients of Inverse Cyclotomic Polynomials-Reference-Cited by-同舟云学术

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Remarks on the Coefficients of Inverse Cyclotomic Polynomials

Published:2023-08-22 Issue:17 Volume:11 Page:3622
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Andrica Dorin¹^ORCID,Bagdasar Ovidiu²³^ORCID

Affiliation:

1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

2. School of Computing and Engineering, University of Derby, Derby DE22 1GB, UK

3. Department of Mathematics, Faculty of Exact Sciences, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

Abstract

Cyclotomic polynomials play an imporant role in discrete mathematics. Recently, inverse cyclotomic polynomials have been defined and investigated. In this paper, we present some recent advances related to the coefficients of inverse cyclotomic polynomials, including a practical recursive formula for their calculation and numerical simulations.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/17/3622/pdf

Reference24 articles.

1. Bachman, G. (1993). On the Coefficients of Cyclotomic Polynomials, American Mathematical Society.

2. Pethö, A., Pohst, M.E., Williams, H.C., and Zimmer, H.G. (1991). Computational Number Theory, De Gruyter.

3. Some properties of the cyclotomic polynomial;Lehmer;J. Math. Anal. Appl.,1966

4. A survey on coefficients of cyclotomic polynomials;Sanna;Expo. Math.,2022

5. On cyclotomic polynomial coefficients;Andrica;Malays. J. Math. Sci.,2020

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