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A spherical extension theorem and applications in positive characteristic

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 نشر من قبل Thang Pham
 تاريخ النشر 2020
  مجال البحث
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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. We also will study applications on distance problems.



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