A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1
Volume 178 / 2017
Acta Arithmetica 178 (2017), 249-256
MSC: Primary 11J70; Secondary 11T55.
DOI: 10.4064/aa8368-12-2016
Published online: 26 April 2017
Abstract
We describe a family of algebraic nonquadratic power series over an arbitrary finite field of characteristic 2, having a continued fraction expansion with all partial quotients of degree one. The main purpose is to point out a common origin with another analogous family in odd characteristic, previously studied by the author.
