%0 Journal Article
%T On Algebraic Methods for the Riemann Hypothesis
%A Michael Mark Anthony
%J Advances in Pure Mathematics
%P 1-35
%@ 2160-0384
%D 2025
%I Scientific Research Publishing
%R 10.4236/apm.2025.151001
%X 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.
%K Gamma Function
%K Zeta Function
%K Bernoulli Numbers
%K Robin Inequality
%K Twin Primes
%K Primes
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=138891