%0 Journal Article
%T Consequences of Invariant Functions for the Riemann Hypothesis
%A Michael Mark Anthony
%J Advances in Pure Mathematics
%P 36-72
%@ 2160-0384
%D 2025
%I Scientific Research Publishing
%R 10.4236/apm.2025.151002
%X This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community.
%K LambertW Function
%K Principal Branch
%K Riemann Hypothesis
%K Iterations
%K Robin Inequality
%K Robin Integers
%K Invariance
%K Gauss Gamma Function
%K Li-Function
%K Prime Counting Function
%K Sums of Divisors
%K Invariance
%K Primes
%K Twin Primes
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140152