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arxiv: 1105.1214 · v3 · pith:KUHJIQXCnew · submitted 2011-05-06 · 🧮 math.NA · math.NT

A Substitution to Bernoulli Numbers in easier computation of (zeta(2k))

classification 🧮 math.NA math.NT
keywords zetabernoulliformulafunctionnumbersvaluesalternativecalculate
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An alternative formula is presented for the evaluation of the zeta function values $\zeta(2k)$ without the need for Bernoulli numbers. Our formula is recursive, and improves the efficiency with which we can calculate large values of the zeta function.

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