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arXiv · 1208.0508

Hypergeometric functions over $\mathbb{F}_q$ and traces of Frobenius for elliptic curves

Rupam Barman·Gautam Kalita
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Abstract

We present here explicit relations between the traces of Frobenius endomorphisms of certain families of elliptic curves and special values of ${_{2}}F_1$-hypergeometric functions over $\mathbb{F}_q$ for $q \equiv 1 (\text{mod} 6)$ and $q \equiv 1 (\text{mod} 4)$.

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Rupam Barman, Gautam Kalita. 2012-08-02. Hypergeometric functions over $\mathbb{F}_q$ and traces of Frobenius for elliptic curves. https://arxiv.org/abs/1208.0508

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