Arithmetic Properties of Generalized Rikuna Polynomials
Arithmetic Properties of Generalized Rikuna Polynomials
Fix an integer ℓ≥3. Rikuna introduced a polynomial r(x,t) defined over a function field K(t) whose Galois group is cyclic of order ℓ, where K satisfies some mild hypotheses. In this paper we define the family of generalized Rikuna polynomials {r n (x,t)} n≥1 of degree ℓ n . The …