@article{d6468dce6ac843599b70186029a5d8f5,

title = "Bilinear character sums and sum-product problems on elliptic curves",

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.",

author = "Omran Ahmadi and Igor Shparlinski",

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",

year = "2010",

month = "2",

doi = "10.1017/S0013091508000771",

language = "English",

volume = "53",

pages = "1--12",

journal = "Proceedings of the Edinburgh Mathematical Society",

issn = "0013-0915",

publisher = "Cambridge University Press",

number = "1",

}