19 citations · 19 across the 3 of their papers we have counts for
4 papers · 1 filter
On certain recurrent and automatic sequences in finite fields
Alain Lasjaunias, Jia-Yan Yao
In this work we extend our study on a link between automaticity and certain algebraic power series over finite fields. Our starting point is a family of sequences in a finite field…
Hyperquadratic continued fractions and automatic sequences
Alain Lasjaunias, Jia-Yan Yao
The aim of this note is to show the existence of a correspondance between certain algebraic continued fractions in fields of power series over a finite field and automatic sequence…
Hankel determinants, Padé approximations, and irrationality exponents
Yann Bugeaud, Guo-Niu Han, Zhi-Ying Wen +1
The irrationality exponent of an irrational number , which measures the approximation rate of by rationals, is in general extremely difficult to compute explicitly, unless w…
Hyperquadratic continued fractions over a finite field of odd characteristic with partial quotients of degree 1
Alain Lasjaunias, Jia-Yan Yao
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 one, were…