Exponential Sums over Points of Elliptic Curves

2013/02/18 by Ahmadi, Omran, Shparlinski, Igor E.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1302.4210

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.

Related

• Lifts of points on curves and exponential sums
• Exponential sums over definable subsets of finite fields
• A note on exponential-Möbius sums over \mathbbF_q[t]
• Exponential sums over singular binary quartic forms and applications
• On the Sum-Product Problem on Elliptic Curves