Some notes on the multiplicative order of \(\alpha+\alpha^{-1}\) in finite fields of characteristic two. (English) Zbl 1449.11113
The author proves some results on the possible order of \(\alpha+\alpha^{-1}\) for \(\alpha\) a non-zero element of a finite field of even order. The results are based on his earlier paper, [Contemp. Math. 579, 187–204 (2012; Zbl 1302.37074)].
Reviewer: Arne Winterhof (Linz)
MSC:
| 11T30 | Structure theory for finite fields and commutative rings (number-theoretic aspects) |
| 11G20 | Curves over finite and local fields |
| 37P55 | Arithmetic dynamics on general algebraic varieties |
