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arXiv · 1804.07397

Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums

Stephan Ramon Garcia·George Todd
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Abstract

We connect the sixth power moment of Kloosterman sums to elliptic curves. This yields an elementary proof that $K_u$ with $p\nmid u$ are $O(p^{2/3})$.

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Stephan Ramon Garcia, George Todd. 2018-05-05. Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums. https://arxiv.org/abs/1804.07397

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