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Hypergeometric L-functions in average polynomial time
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math.NT
keywords
timeaveragehypergeometricpolynomialtracealgorithmbeukers--cohen--mellitcombines
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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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