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Bilinear character sums and sum-product problems on elliptic curves
Published online by Cambridge University Press: 12 January 2010
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.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 1 , February 2010 , pp. 1 - 12
- Copyright
- Copyright © Edinburgh Mathematical Society 2010
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