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A new necessary and sufficient condition for the Riemann hypothesis

Luis Baez-Duarte
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Abstract

We give a new equivalent condition for the Riemann hypothesis consisting in an order condition for certain finite rational combinations of the values of the Riemann zeta-function at even positive integers.

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Luis Baez-Duarte. 2003-07-16. A new necessary and sufficient condition for the Riemann hypothesis. https://arxiv.org/abs/math/0307215

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