Hyperquadratic continued fractions over a finite field of odd characteristic with partial quotients of degree 1
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Number Theory. 2015-04, vol. 149, p. 259-284
Elsevier
Resumen en inglés
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, having a continued fraction expansion with partial quotients all of degree one, were discovered by W. Mills and D. Robbins. ...Leer más >
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, having a continued fraction expansion with partial quotients all of degree one, were discovered by W. Mills and D. Robbins. In this note we show how these few examples are included in a very large family of continued fractions for certain algebraic power series over an arbitrary ?finite fi?eld of odd characteristic.< Leer menos
Palabras clave en inglés
power series
finite fields
continued fractions
Orígen
Importado de HalCentros de investigación