Hyperquadratic power series of degree four
Hyperquadratic power series of degree four
Let K be a field of char. p ≥ 3. We prove that a large family of algebraic elements of degree 4 over K are hyperquadratic, i.e. they satisfy α = (Aαr +B)/(Cαr+D), where r is a power of p. In the case where K = Fq(T ), hyperquadratic power …