Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates

Jeremy Chapman, M. Burak Erdogan, Derrick Hart +2

An analog of the Falconer distance problem in vector spaces over finite fields asks for the threshold $\alpha >0$ such that $|\Delta (E)|\gtrsim q$ whenever $|E|\gtrsim q^{\alpha }$, where $E \subse…