The geometric interpretation of some mathematical expressions containing the Riemann ζ-function

Volume 1, Issue 1, October 2016     |     PP. 184-189      |     PDF (298 K)    |     Pub. Date: December 14, 2016
DOI:    438 Downloads     5229 Views  

Author(s)

Yu. N. Zayko, Russian Presidential Academy of National Economy and Public Administration, Stolypin Volga Region Institute, Russia, 410031, Saratov, Sobornaya st, 23/25, Russia.

Abstract
The article discusses some of the mathematical results widely used in practice which contain the Riemann ζ-function, and, at first glance, are in contradiction with common sense. A geometric approach is suggested, based on the concept of the curvature of space, in which is calculated an algorithm that specifies the representation of ζ -function as an infinite diverging series. The analysis is based on the use of Einstein equations to calculate the metric of curved space.

Keywords
Riemann ζ-function, Einstein equations, metric, metric tensor, energy-momentum tensor, Christoffel symbols, algorithm

Cite this paper
Yu. N. Zayko, The geometric interpretation of some mathematical expressions containing the Riemann ζ-function , SCIREA Journal of Mathematics. Volume 1, Issue 1, October 2016 | PP. 184-189.

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