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 language | English |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Volume | 53 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 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/S0013091508000771Fingerprint
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