Jacob's ladders, factorization and metamorphoses as an appendix to the Riemann functional equation for ζ(s) on the critical line

2015/10/01 by Jan Moser, Moser, Jan
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories #math.CA

paper · pdf · doi:10.48550/arxiv.1510.00185

arxiv created 2015/10/01 · openalex publication_date 2015/10/01 · arxiv updated 2015/10/02 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain a new set of metamorphoses of the oscillating Q-system by using the Euler's integral. We split the final state of mentioned metamorphoses into three distinct parts: the signal, the noise and finally appropriate error term. We have also proved that the set of distinct metamorphoses of that class is infinite one.

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