Add to ORKGWe discuss the continued fraction expansion, in the field of power series over a finite prime field, of characteristic p>3, of the solution of a particular quartic equation. This allows us to describe two very large families of hyperquadratic continued fractions. Finally, we compute the irrationality measure for the solution of this quartic equation and we obtain two different values according to the remainder of p in the division by 3
AbstractIn 1986, Mills and Robbins observed by computer the continued fraction expansion of certain ...
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
Rational approximation to algebraic power series over a finite field leads to consider a subset of e...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
AbstractAn irrational power series over a finite field Fq of characteristic p is called hyperquadrat...
An irrational power series over a finite field F_q of characteristic p is called hyperquadratic if i...
AbstractThe continued fraction expansion for a quartic power series over the finite field F13 was co...
There exists a particular subset of algebraic power series over a finite field which, for different ...
The first part of this note is a short introduction on continued fraction expansions for certain alg...
Abstract: In this paper, we consider continued fraction expansions for algebraic power series over a...
A continued fraction expansion for a quartic power series over F_13 was conjectured by David Robbins...
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, hav...
We explicitly describe a noteworthy transcendental continued fraction in the field of power series o...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
AbstractIn 1986, Mills and Robbins observed by computer the continued fraction expansion of certain ...
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
Rational approximation to algebraic power series over a finite field leads to consider a subset of e...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
AbstractAn irrational power series over a finite field Fq of characteristic p is called hyperquadrat...
An irrational power series over a finite field F_q of characteristic p is called hyperquadratic if i...
AbstractThe continued fraction expansion for a quartic power series over the finite field F13 was co...
There exists a particular subset of algebraic power series over a finite field which, for different ...
The first part of this note is a short introduction on continued fraction expansions for certain alg...
Abstract: In this paper, we consider continued fraction expansions for algebraic power series over a...
A continued fraction expansion for a quartic power series over F_13 was conjectured by David Robbins...
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, hav...
We explicitly describe a noteworthy transcendental continued fraction in the field of power series o...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
AbstractIn 1986, Mills and Robbins observed by computer the continued fraction expansion of certain ...
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
Rational approximation to algebraic power series over a finite field leads to consider a subset of e...