Jacob's ladders and new synergetic formula generating infinite set of ζ-cooperative three-parametric invariants

2018/10/03 by Jan Moser, Moser, Jan
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #Data Management and Algorithms #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories #math.CA

paper · pdf · doi:10.48550/arxiv.1810.01697

arxiv created 2018/10/03 · openalex publication_date 2018/10/03 · arxiv updated 2018/10/04 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain new ζ-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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