# Frobenius structures on hypergeometric equations

@article{Kedlaya2019FrobeniusSO, title={Frobenius structures on hypergeometric equations}, author={Kiran S. Kedlaya}, journal={arXiv: Number Theory}, year={2019} }

We give an exposition of Dwork's construction of Frobenius structures associated to generalized hypergeometric equations via the interpretation of the latter due to Gelfand-Kapranov-Zelevinsky in the language of A-hypergeometric systems. As a consequence, we extract some explicit formulas for the degeneration at 0 in terms of the Morita p-adic gamma function.

## One Citation

Hypergeometric L-functions in average
polynomial time

- MathematicsOpen Book Series
- 2020

We describe an algorithm for computing, for all primes $p \leq X$, the mod-$p$ reduction of the trace of Frobenius at $p$ of a fixed hypergeometric motive in time quasilinear in $X$. This combines…

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We describe an algorithm for computing, for all primes $p \leq X$, the mod-$p$ reduction of the trace of Frobenius at $p$ of a fixed hypergeometric motive in time quasilinear in $X$. This combines…

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