Zeros of the Riemann Zeta Function on the Line z = 1/2 + it_{0} II
Abstract
It is shown that all nontrivial zeros of the Riemann zeta function lie on the line z = 1/2 + it_{0} 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.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 March 2021
 DOI:
 10.1134/S1063776121030080
 Bibcode:
 2021JETP..132..477O