Jacob's ladders and some unbounded decomposition of the ζ-oscillating systems on products of other ζ-oscillating systems as an ζ-analogue of the prime decomposition

2017/01/31 by Jan Moser, Moser, Jan
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.CA

paper · pdf · doi:10.48550/arxiv.1701.08979

arxiv created 2017/01/31 · openalex publication_date 2017/01/31 · arxiv updated 2017/02/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce new class of multiplicative interactions of the ζ-oscillating systems generated by a subset of power functions. The main result obtained expresses an analogue of prime decomposition (without the property of uniqueness). Dedicated to recalling of Nicola Tesla's oscillators

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