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

Jan Moser

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arXiv · 1701.08979

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

Jan Moser

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Abstract

In this paper we introduce new class of multiplicative interactions of the $\zeta$-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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Jan Moser. 2017-01-31. Jacob's ladders and some unbounded decomposition of the $\zeta$-oscillating systems on products of other $\zeta$-oscillating systems as an $\zeta$-analogue of the prime decomposition. https://arxiv.org/abs/1701.08979

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