TITLE:
Consequences of Invariant Functions for the Riemann Hypothesis
AUTHORS:
Michael Mark Anthony
KEYWORDS:
LambertW Function, Principal Branch, Riemann Hypothesis, Iterations, Robin Inequality, Robin Integers, Invariance, Gauss Gamma Function, Li-Function, Prime Counting Function, Sums of Divisors, Invariance, Primes, Twin Primes
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.15 No.1,
January
24,
2025
ABSTRACT: 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.