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Zeros of the Riemann Zeta Function on the Line z = 1/2 + it 0 II

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
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Abstract

It is shown that all nontrivial zeros of the Riemann zeta function lie on the line z = 1/2 + it0 and can be classified into two sets: normal zeros, whose numbers are uniquely restored by the value of the root, and anomalous zeros, the unique restoration of whose numbers requires the knowledge of the values of two neighboring zeros (the left and right ones). The methods of analysis applied can be useful for the study of physical phenomena related to the phase slip.

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Correspondence to Yu. N. Ovchinnikov.

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Translated by I. Nikitin

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Ovchinnikov, Y.N. Zeros of the Riemann Zeta Function on the Line z = 1/2 + it 0 II. J. Exp. Theor. Phys. 132, 477–479 (2021). https://doi.org/10.1134/S1063776121030080

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  • DOI: https://doi.org/10.1134/S1063776121030080

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