On Restriction Estimates for the Zero Radius Sphere over Finite Fields

Authors: Chun-Yen Shen, Phạm Văn Thắng, Doowon Koh, Alex Iosevich, Sujin Lee,

https://doi.org/10.4153/S0008414X20000152

Publisher, magazine: ,

Publication year: 2020

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Abstract

In this paper, we completely solve the extension conjecture for the zero radius sphere over finite fields. We also obtain the sharp extension estimate for non-zero radii spheres over finite fields, which improves the previous result of the first and second authors significantly.

Tags: Restriction estimate, finite field, sphere