Resumen de Polynomial values in small subgroups of finite fields

Igor E. Shparlinski

• For a large prime pp, and a polynomial ff over a finite field Fp of pp elements, we obtain a lower bound on the size of the multiplicative subgroup of F∗p containing H ≥1 consecutive values f(x),x=u+1,…,u+H uniformly over f∈Fp[X] and an u∈Fp.