Jacob's ladders and infinite set of transmutations of asymptotic complete hybrid formula on level curves in Gauss' plane

Abstract

In this paper we have obtained new phenomenon lying in the following: every fixed asymptotic complete hybrid formula (we call it as mother formula) generates infinite set of new formulas (transmutations) such that every new formula expresses a close binding between some subset of $\{|\zeta (s)|\}$ and subset of moduli of certain integral and meromorphic functions.