We improve an existing result on exponential quadrilinear sums in the case of sums over multiplicative subgroups of a finite field and use it to give a new bound on exponential sums with quadrinomials.
On exponential sums over orbits in $\mathbb{F}_p^d$
A generalization of Gallagher's lemma for exponential sums
Exact Divisibility of Exponential Sums Associated to Binomials over finite fields
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