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Chebyshev’s Second Function and a Dynamical Zeta Function

Year: 2025

Type: article

Abstract: An exponentially-weighted Dirichlet series is used to map Chebyshev's second function to a circle.The imaginary part of this circle is used to derive a dynamical zeta function.A related dynamical zeta function is derived using a logarithmicallyweighted Dirichlet series.This is relevant to the Riemann hypothesis.

Source: Global Journal of Pure and Applied Mathematics

DOI: 10.37622/gjpam/20.4.2024.729-745

Author: Darrell Cox

Institution: Grayson College

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4407427656

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