publication . Preprint . 2015

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

Moser, Jan;
Open Access English
  • Published: 01 Jun 2015
In this paper we introduce complicated oscillating system, namely quotient of two multiforms based on Riemann-Siegel formula. We prove that there is an infinite set of metamorphoses of this system (=chrysalis) on critical line $\sigma=\frac 12$ into a butterfly (=infinite series of M\" obius functions in the region of absolute convergence $\sigma>1$).
free text keywords: Mathematics - Classical Analysis and ODEs
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Z(t) = 2 X Å T ã ln T Å T ã ln T

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