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arxiv: 1209.0533 · v3 · pith:6MBN47XEnew · submitted 2012-09-04 · 🧮 math.NT · cs.DS· cs.NA· math.NA

A subquadratic algorithm for computing the n-th Bernoulli number

classification 🧮 math.NT cs.DScs.NAmath.NA
keywords algorithmbernoullin-thnumberalgorithmscomplexitycomputescomputing
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We describe a new algorithm that computes the n-th Bernoulli number in n^(4/3 + o(1)) bit operations. This improves on previous algorithms that had complexity n^(2 + o(1)).

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