Polynomial values in small subgroups of finite fields

• Igor E. Shparlinski ^[1]
  1. [1] University of New South Wales
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 4, 2016, págs. 1127-1136
• Idioma: inglés
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• Resumen

  • 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.