The Continuing Story of Zeta
classification
🧮 math.NT
math.GM
keywords
functionzetabernoullibinomialcontinuecontinuingexplicithalf-plane
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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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