Weil Sums over Small Subgroups
Alina Ostafe, Igor E. Shparlinski, José Felipe Voloch · Mathematical Proceedings of the Cambridge Philosophical Society · 2023
Abstract We obtain new bounds on short Weil sums over small multiplicative subgroups of prime finite fields which remain nontrivial in the range the classical Weil bound is already trivial. The method we use is a blend of techniques coming from algebraic geometry and additive combinatorics.