9 papers
On A Family Of 2-Automatic Sequences Derived From Ultimately Periodic Sequences And Generating Algebraic Continued Fractions In F2((1/T))
Alain Lasjaunias
By replacing the letters to polynomials in F_2[t], an infinite word, over a finite alphabet, can be seen as the sequence of partial quotients of a continued fraction in F_2((1/t)).…
Period-doubling Continued Fractions are Algebraic in Characteristic
Yining Hu, Alain Lasjaunias
Considering an arbitrary pair of distinct and non constant polynomials, and in , we build a continued fraction in whose partial quoti…
A note on hyperquadratic elements of low algebraic degree
Alain Lasjaunias
In different areas of discrete mathematics, a certain type of polynomials, having coefficients in a field K of finite characteristic, has been considered. The form and the degree o…
On particular families of hyperquadratic continued fractions in power series fields of odd characteristic
Alain Lasjaunias
We discuss the form of certain algebraic continued fractions in the field of power series over , where p is an odd prime number. This leads to give explicit continued fraction…
Continued Fractions
Alain Lasjaunias
We present a general introduction to continued fractions, with special consideration to the function fields case. These notes were prepared for a summer class given this year in Be…
On a particular hyperquadratic continued fraction in F(p) with p>2
Alain Lasjaunias
Given an odd prime number p, we describe a continued fraction in the field F(p) of power series in 1/T with coefficients in the finite field F_p, where T is a formal indeterminate.…