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.