Exponential Sums over Points of Elliptic Curves
Number Theory
2013-08-23 v3
Abstract
We derive a new bound for some bilinear sums over points of an elliptic curve over a finite field. We use this bound to improve a series of previous results on various exponential sums and some arithmetic problems involving points on elliptic curves.
Cite
@article{arxiv.1302.4210,
title = {Exponential Sums over Points of Elliptic Curves},
author = {Omran Ahmadi and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1302.4210},
year = {2013}
}