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arXiv · 1506.00442

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

Jan Moser
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Abstract

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 $\sigma>1$).

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Jan Moser. 2015-06-01. Jacob's ladders, Riemann's oscillators, quotient of two oscillating multiforms and set of metamorphoses of this system. https://arxiv.org/abs/1506.00442

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