# 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} }

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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- 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…

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