Anthony, M.M. (2024) On Perron’s Formula and the Prime Numbers. Advances in Pure Mathematics, 14, 487-494.
https://doi.org/10.4236/apm.2024.146027

has been cited by the following article:

• TITLE: On Algebraic Methods for the Riemann Hypothesis

  AUTHORS: Michael Mark Anthony

  KEYWORDS: Gamma Function, Zeta Function, Bernoulli Numbers, Robin Inequality, Twin Primes, Primes

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.1, January 14, 2025

  ABSTRACT: Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the Gamma function, the Bernoulli function, and limitations imposed by the rational relations of the complex roots of the Riemann zeta function, and the rational relations of the complex Gamma functions.