Chebyshev’s Second Function and a Dynamical Zeta Function
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.
Authors
- Darrell Cox (ORCID: https://orcid.org/0000-0001-8075-5398)
Publication Details
- Journal
- Global Journal of Pure and Applied Mathematics
- Published
- 2025-02-06
- DOI
- https://doi.org/10.37622/gjpam/20.4.2024.729-745
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00