TY - JOUR TI - On the number of k-normal elements over finite fields AB - In this article we give an explicit formula for the number of k -normal elements, hence answering Problem6.1. of Huczynska et al. (Existence and properties of k -normal elements over finite fields, Finite Fields Appl 2013;24: 170-183). Furthermore, for some cases we provide formulas that require the solutions of some linear Diophantineequations. Our results depend on the explicit factorization of cyclotomic polynomials. AU - TILENBAEV, Ernist AU - ÜRTİŞ, Çetin AU - SAYGI, Zülfükar DO - 10.3906/mat-1805-113 PY - 2019 JO - Turkish Journal of Mathematics VL - 43 IS - 2 SN - 1300-0098 SP - 795 EP - 812 DB - TRDizin UR - http://search/yayin/detay/335656 ER -