• Corpus ID: 209516231

# Frobenius structures on hypergeometric equations

@article{Kedlaya2019FrobeniusSO,
title={Frobenius structures on hypergeometric equations},
author={Kiran S. Kedlaya},
journal={arXiv: Number Theory},
year={2019}
}
• K. Kedlaya
• Published 30 December 2019
• Mathematics
• arXiv: Number Theory
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.
1 Citations
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• Mathematics
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• 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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