Jacob's ladders and grafting of the complete hybrid formulas into $\zeta$-synergetic meta-functional equation for Riemann's zeta-function

TL;DR

This paper introduces a novel grafting technique for hybrid formulas into a meta-functional equation related to Riemann's zeta-function, revealing a synergetic interaction akin to a chemical reaction among zeta values.

Contribution

It presents a new method of grafting hybrid formulas into a meta-functional equation, advancing the understanding of zeta-function interactions.

Findings

Grafting of hybrid formulas into the meta-functional equation is proven.

The synergetic formula models a chemical-like reaction among zeta-function values.

New insights into the structure of Riemann's zeta-function are provided.

Abstract

In this paper we prove that there is a grafting of complete hybrid formula on meta-functional equation. This synergetic formula gives the result of a $\zeta$-chemical reaction between different sets of values of Riemann's zeta-function on the critical strip.