Universality Theorems in Physics
Physical Sciences
Antanas Garbaliauskas
Šiauliai State College
Published 2018-12-20
https://doi.org/10.21277/jmd.v48i2.223
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Keywords

Rymann zeta-function
L-function
universality
applications in physics

How to Cite

Garbaliauskas, A. (2018) “Universality Theorems in Physics”, Jaunųjų mokslininkų darbai, 48(2), pp. 22–26. doi:10.21277/jmd.v48i2.223.

Abstract

The paper presents universality of some analytic functions, which is a very exceptional and useful property of zeta and L-functions. The property for the Riemann zeta-function was discovered by S. M. Voronin. Later, many mathematicians, such as S. M. Gonek, A. Reich, B. Bagchi, A. Laurinčikas, K. Matsumoto, R. Garunkštis, J. Steuding and others improved and generalized Voronin’s theorem. Physicists examine numerous models from different branches of physics (from classical mechanics to statistical physics) where this function plays an integral role.

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