Papers › Hypergeometric L-functions in average polynomial time

Hypergeometric L-functions in average polynomial time

27 May 2020arXiv:2005.13640links table onlyarchive 2025-07-28

Edgar Costa, Kiran S. Kedlaya, David Roe

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We describe an algorithm for computing, for all primes p ≤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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