Abstract
The purpose of this paper is to establish certain multilinear exponential sums in arbitrary finite fields, extending some of the results from [1] for prime fields.
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References
J. Bourgain, Multilinear exponential sums in prime fields under optimal entropy conditions on the sources, GAFA, Vol. 18 (2009), 1477–1502.
W. Schmidt, Bounds on exponential sums, Acta Arith. (1964).
N. Katz and C. Shen, A slight improvement to Garaev’s sum-product estimate, to appear in Proc. AMS.
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© 2010 János Bolyai Mathematical Society and Springer-Verlag
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Bourgain, J. (2010). On Exponential Sums in Finite Fields. In: Bárány, I., Solymosi, J., Sági, G. (eds) An Irregular Mind. Bolyai Society Mathematical Studies, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14444-8_4
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DOI: https://doi.org/10.1007/978-3-642-14444-8_4
Publisher Name: Springer, Berlin, Heidelberg
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