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paper

The Continuing Story of Zeta

arXiv:math/0610108 · doi:10.1007/s00283-009-9053-y

Abstract

We show how the Binomial Theorem can be used to continue the Riemann Zeta Function to the left hand half-plane. This method yields the explicit values of the function at non-positive integers in terms of the Bernoulli numbers.

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