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A Proof of the Riemann Hypothesis Based on a New Expression of the Completed Zeta Function

Weicun Zhang

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Source: Crossref

Published: Jul 3, 2025

DOI: 10.20944/preprints202108.0146.v47

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Source abstract

The Riemann Hypothesis (RH) is proved based on a new expression of the completed zeta function ξ(s) \xi(s) , which was obtained through pairing the conjugate zeros ρi \rho_i and ρˉi \bar{\rho}_i in the Hadamard product, with consideration of the multiplicity of zeros.

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