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Hypergeometric L-functions in average polynomial time

Published 27 May 2020 in math.NT | (2005.13640v4)

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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