Ramified-Geometric Langland Conjecture through Chaotic Number Theory

This preprint investigates the Linear function generated by arithmetic sequence in Chaotic number system. The study addresses the lack of L-function that is deterministically predicting complex-random variables with nonlinear relationship in Dynamic system. We propose Standard-Lower limit approach and Common-effect relationship principle to generate nine relationship outputs between three complex-random variables expressed as Y, X1 and X2. Thus, the results of Chaotic L-function show that Dependent variable proportionally increases When first-independent variable increases, second-independent variable decreases and other factors remain constant after standardization. So, Specialized-Reversed sequence rule states that’’Any integer greater than one can proportionally be expressed as the product of initiator and power ratio in Power-log number space.’’ This work may contribute to the understanding of Chaotic number theory, Ramified-geometric Langland conjecture*, Prime distribution function*, and Elliptic curve function* in the area of modern mathematics. This result may also contribute to UN Sustainable Development Goals including but not limited to target 3.5.