Article ID Journal Published Year Pages File Type
4593697 Journal of Number Theory 2015 26 Pages PDF
Abstract

In 1986, some examples of algebraic, and nonquadratic, power series over a finite prime field, having a continued fraction expansion with partial quotients all of degree 1 were discovered by W. Mills and D. Robbins. In this note we show that these few examples belong to a very large family of continued fractions for certain algebraic power series over an arbitrary finite field of odd characteristic.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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