Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593697 | Journal of Number Theory | 2015 | 26 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Lasjaunias, J.-Y. Yao,