Jacob's ladders, crossbreeding and new synergetic formulas for the class of more complicated external parts of ζ-factorization formulas

2018/12/05 by Jan Moser, Moser, Jan
Mathematics · #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories #math.CA

paper · pdf · doi:10.48550/arxiv.1812.01904

arxiv created 2018/12/05 · openalex publication_date 2018/12/05 · arxiv updated 2018/12/06 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain new canonical synergetic formula, namely an ζ-analogue of next elementary trigonometric formula. This one describes cooperative interactions between corresponding class of elementary functions and the Riemann's zeta-function on a class of disconnected sets on the critical line.

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