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arXiv · 2008.08279

A spherical extension theorem and applications in positive characteristic

Doowon Koh·Thang Pham
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Abstract

In this paper, we prove an extension theorem for spheres of square radii in $\mathbb{F}_q^d$, which improves a result obtained by Iosevich and Koh (2010). Our main tool is a new point-hyperplane incidence bound which will be derived via a cone restriction theorem due to the authors and Lee (2022). Applications on the distance problems will also be discussed.

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Doowon Koh, Thang Pham. 2020-08-19. A spherical extension theorem and applications in positive characteristic. https://arxiv.org/abs/2008.08279

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