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Title: Bilinear character sums and sum-product problems on elliptic curves
Related: Proceedings of the Edinburgh Mathematical Society, Vol. 53, Issue 1 (2010), p.1-12
DOI: 10.1017/S0013091508000771
Publisher: Cambridge University Press
Date: 2010
FoR/RFCD Code(s): 010200 Applied Mathematics 010100 Pure Mathematics
Author/Creator: Ahmadi, Omran
Author/Creator: Shparlinski, Igor
Description: Let E be an ordinary elliptic curve over a finite field Fq 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.
Description: 12 page(s)
Subject Keyword: 010200 Applied Mathematics
Subject Keyword: 010100 Pure Mathematics
Subject Keyword: sum-product problem
Subject Keyword: elliptic curves
Subject Keyword: character sums
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

Identifier: http://hdl.handle.net/1959.14/119092
Identifier: ISSN:0013-0915
Identifier: mq-rm-2010004629
Language: eng
Rights: 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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