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Journal Article

Large Numbers Generated by the Riemann Zeta Function


Ovchinnikov,  Yury N.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Ovchinnikov, Y. N. (2021). Large Numbers Generated by the Riemann Zeta Function. Journal of Experimental and Theoretical Physics - JETP, 133(5), 626-629. doi:10.1134/S1063776121110133.

Cite as: https://hdl.handle.net/21.11116/0000-0009-C053-0
Anomalously large numbers generated of the Riemann zeta function are analyzed. A set of Mersenne primes is investigated. The equations connecting the values of Mersenne primes with their numbers is derived. The results of this study are important for understanding the reasons for the disbalance between theory and experiment, which emerges when fluctuation corrections to the conductivity of quasi-two-dimensional superconductors are analyzed.