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arXiv · 1302.6664

New Restriction Estimates for the 3-d Paraboloid over Finite Fields

Mark Lewko
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Abstract

We improve the range of exponents for the restriction problem for the 3-d paraboloid over finite fields. The key new ingredient is a variant of the Bourgain-Katz-Tao finite field incidence theorem derived from sum-product estimates. In prime order fields, we give an explicit relationship between the exponent in this incidence theorem and restriction estimates for the paraboloid.

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Mark Lewko. 2013-02-27. New Restriction Estimates for the 3-d Paraboloid over Finite Fields. https://arxiv.org/abs/1302.6664

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