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

Mathematics – Numerical Analysis

Scientific paper

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8 pages; International Journal of Algebra, Number Theory and Applications 2010-11

Scientific paper

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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