EXPLORING THE RIEMANN HYPOTHESIS THROUGH POLYGONAL ANALYSIS
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In this article, we propose a novel approach to the Riemann Hypothesis by linking the Dirichlet form of the Riemann zeta function (E1) to an auxiliary vector summation framework. Using abstraction and tools from vector calculus, we derive a closed-form expression that governs the imaginary parts of the nontrivial zeros of the zeta function, independently of the real part. Our results uncover a previously unrecognized ordering in the distribution of these zeros, which may carry significant implications for the study of the Riemann zeta function.
