Remarks on the Coefficients of Inverse Cyclotomic Polynomials

Dorin Andrica and Ovidiu Bagdasar ()
Additional contact information
Dorin Andrica: Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
Ovidiu Bagdasar: School of Computing and Engineering, University of Derby, Derby DE22 1GB, UK

Mathematics, 2023, vol. 11, issue 17, 1-16

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.

Keywords: cyclotomic polynomials; inverse cyclotomic polynomials; coefficients; recurrence formula; integral formula; Möbius function; Ramanujan sums (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/17/3622/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/17/3622/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:17:p:3622-:d:1222093

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().