Functional Series Symmetry: A Structural Approach to the Riemann Hypothesis

The Riemann Hypothesis (RH), one of the most significant unsolved problems in mathematics, posits that all non-trivial zeros of the Riemann zeta function lie on the critical line (R(s)=1/2). Despite numerous attempts, a universal proof remains elusive. This paper introduces Functional Series Symmetry (FSS) ,Weighted Derivatives and Functional Level Theory (FLT), which together provide a structured approach to understanding the behavior of zeros.

The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this workl