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      Hypergeometric L-functions in average polynomial time

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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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          Journal
          27 May 2020
          Article
          2005.13640
          a2dff7bf-ee68-4ffa-9b5b-ab75263470c8

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          11Y16, 33C20 (primary), and 11G09, 11M38, 11T24 (secondary)
          math.NT

          Number theory
          Number theory

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