paper

On a Finite Field Analogue of van der Corput Differencing

arXiv:2312.02525

Abstract

We establish nontrivial bounds for general bilinear forms with a given periodic function, which are thought of as an analogue of van der Corput differencing for exponential sums. The proof employs Poisson summation, Cauchy-Schwarz, and the iteration thereof.

arXiv comment5 pages. LaTeX2e