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Hypergeometric L-functions in average polynomial time
Published Web Location
https://doi.org/10.2140/obs.2020.4.143No data is associated with this publication.
Abstract
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.
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