3 citations · 6 across the 3 of their papers we have counts for
3 papers
math.NT2020
Diophantine approximation and continued fraction expansion for quartic power series over
Khalil Ayadi, Awatef Azaza, Salah Beldi
While Roth's theorem states that the irrationality measure of all the irrational algebraic numbers is 2, and the same holds true over function fields in characteristic zero, some c…
math.NT2019★ 3 cited
On quadratic approximation for hyperquadratic continued fractions
Khalil Ayadi, Tomohiro Ooto
We study quadratic approximations for two families of hyperquadratic continued fractions in the field of Laurent series over a finite field. As the first application, we give the a…
math.NT2014★ 3 cited
On a quartic equation and two families of hyperquadratic continued fractions in power series fields
Alain Lasjaunias, Khalil Ayadi
Casually introduced thirty years ago, a simple algebraic equation of degree 4, with coefficients in Fp[T], has a solution in the field of power series in 1/T, over the finite field…