Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116502We prove several incidence theorems in vector spaces over finite fields using bounds for various classes of exponential sums and apply these to Erdos-Falconer type distance problems.Number TheoryClassical Analysis and ODEs52C; 42BErdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fieldstext