A note on order one cyclotomic polynomials
| dc.contributor.author | Bamunoba, Alex Samuel | |
| dc.date.accessioned | 2026-03-05T09:28:45Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | Abstract. It is a well known fact that, if p is an odd prime, then the pth-elementary cyclotomic polynomial _p(x) has an associated p-Eisenstein polynomial c_p(x). We extend this construction and show that, every order one elementary cyclotomic poly-nomial _2spt (x) has an associated p-Eisenstein polynomial\_2spt (x). In addition, for each _2spt (x), we investigate the divisibility (with respect to the prime p) of the coefficients of\_2spt (x). We also establish analogous results for order one Carlitz cyclotomic polynomials over Fq[T]. | |
| dc.identifier.citation | Alex Samuel Bamunoba (2016) A note on order one cyclotomic polynomials, Quaestiones Mathematicae, 39:1, 29-43, DOI: 10.2989/16073606.2015.1023862 | |
| dc.identifier.issn | 1727-933X | |
| dc.identifier.uri | https://doi.org/10.2989/16073606.2015.1023862 | |
| dc.identifier.uri | https://ir.lirauni.ac.ug/handle/123456789/1048 | |
| dc.language.iso | en | |
| dc.publisher | Quaestiones Mathematicae | |
| dc.subject | Eisenstein and Carlitz cyclotomic polynomials | |
| dc.subject | logarithmic and Mahler heights. | |
| dc.title | A note on order one cyclotomic polynomials | |
| dc.type | Article |