Jacob's ladders, new properties of the function arg\zf and corresponding metamorphoses

2015/06/26 by Jan Moser, Moser, Jan
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #math.CA

paper · pdf · doi:10.48550/arxiv.1506.07967

arxiv created 2015/06/26 · openalex publication_date 2015/06/26 · arxiv updated 2015/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of the Jacob's ladders, reversely iterated integrals and the ζ-factorization is used in this paper in order to obtain new results in study of the function arg\zf. Namely, we obtain new formulae for non-local and non-linear interaction of the functions |\zf| and arg\zf, and also a set of metamorphoses of the oscillating Q-system.

Citations

• Jacob's ladders, Riemann's oscillators, quotient of two oscillating multiforms and set of metamorphoses of this system

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