Bamunoba, Alex Samuel On some properties of Carlitz cyclotomic polynomials. (English) Zbl 1385.11038 J. Number Theory 143, 102-108 (2014). Summary: We consider the analogue, when \(\mathbb{Z}\) is replaced with \(\mathbb{F}_q [T]\) of the elementary cyclotomic polynomials and prove an analogue of Suzuki’s theorem. Cited in 4 Documents MSC: 11G09 Drinfel’d modules; higher-dimensional motives, etc. 11T55 Arithmetic theory of polynomial rings over finite fields Keywords:Carlitz polynomials; Carlitz cyclotomic polynomials Software:SageMath PDFBibTeX XMLCite \textit{A. S. Bamunoba}, J. Number Theory 143, 102--108 (2014; Zbl 1385.11038) Full Text: DOI References: [1] Bae, S., The arithmetic of Carlitz polynomials, J. Korean Math. Soc., 35, 341-360 (1998) · Zbl 0910.12001 [2] Goss, D., Basic Structures of Function Field Arithmetic, vol. 35 (1998), Springer [3] Ji, C.; Li, W.; Moree, P., Values of coefficients of cyclotomic polynomials II, Discrete Math., 309, 1720-1723 (2009) · Zbl 1221.11067 [4] Stein, W., Sage Mathematics Software (2013), (version 5.6), The Sage Development Team [5] Suzuki, J., On coefficients of cyclotomic polynomials, Proc. Japan Acad. Ser. A Math. Sci., 63, 279-280 (1987) · Zbl 0641.10008 [6] Weintraub, S. H., Several proofs of the irreducibility of the cyclotomic polynomials, Amer. Math. Monthly, 120, 537-545 (2013) · Zbl 1368.11023 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.