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

Published 6 May 2011 in math.NA and math.NT | (1105.1214v3)

Abstract: 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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Srinivasan Arunachalam

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