Cybernetic Interpretation of the Riemann Zeta Function

TL;DR

This paper applies cybernetic concepts such as feedback and transfer functions to analyze the Riemann zeta function, offering an unconventional dynamic interpretation based on control theory principles.

Contribution

It introduces a novel cybernetic framework to interpret the Riemann zeta function, bridging control theory and number theory in a unique way.

Findings

Unusual dynamic interpretation of the Riemann zeta function

Application of feedback and transfer functions to number theory

Potential new insights into zeta function behavior

Abstract

This paper uses cybernetic approach to study behavior of the Riemann zeta function. It is based on the elementary cybernetic concepts like feedback, transfer functions, time delays, PI (Proportional--Integral) controllers or FOPDT (First Order Plus Dead Time) models, respectively. An unusual dynamic interpretation of the Riemann zeta function is obtained.