Large Numbers Generated by the Riemann Zeta Function

Ovchinnikov, Yury N.

doi:10.1134/S1063776121110133

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Large Numbers Generated by the Riemann Zeta Function

MPS-Authors

/persons/resource/persons184828

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

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

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

Abstract

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.