# Hypergeometric L-functions in average polynomial time

@article{Costa2020HypergeometricLI,
title={Hypergeometric L-functions in average
polynomial time},
author={Edgar Costa and Kiran S. Kedlaya and David Roe},
journal={Open Book Series},
year={2020}
}
• Published 27 May 2020
• Mathematics
• Open Book Series
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 the Beukers--Cohen--Mellit trace formula with average polynomial time techniques of Harvey et al.
1 Citations

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