Bilinear character sums and sum-product problems on elliptic curves

Omran Ahmadi*, Igor Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Citations (Scopus)
32 Downloads (Pure)

Abstract

Let E be an ordinary elliptic curve over a finite field q of q elements. We improve a bound on bilinear additive character sums over points on E, and obtain its analogue for bilinear multiplicative character sums. We apply these bounds to some variants of the sum-product problem on E.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalProceedings of the Edinburgh Mathematical Society
Volume53
Issue number1
DOIs
Publication statusPublished - Feb 2010

Bibliographical note

Copyright 2010 Edinburgh Mathematical Society. Published by Cambridge University Press. Article originally published in Proceedings of the Edinburgh Mathematical Society, vol. 53, iss. 1, pp. 1-12. The original article can be found at http://dx.doi.org/10.1017/S0013091508000771

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