Jacob's ladders and new synergetic formula generating infinite set of $\zeta$-cooperative three-parametric invariants
Jan Moser

TL;DR
This paper introduces a novel $$-synergetic formula involving trigonometric and power functions combined with the Riemann zeta-function, leading to a continuum of three-parametric invariants.
Contribution
It presents an exact secondary hybrid formula that generates an infinite set of $$-cooperative invariants using new mathematical constructs.
Findings
Derived a new $$-synergetic formula.
Defined a continuum of three-parametric invariants.
Connected trigonometric, power functions, and the zeta function.
Abstract
In this paper we obtain new -synergetic formula namely an exact secondary complete hybrid formula. This one is generated by some set of trigonometric and power functions together with the square of module of the Riemann's zeta-function on the critical line. By means of this new formula, we define a two-parametric continuum set of a three-parametric invariants.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical Dynamics and Fractals · Data Management and Algorithms
