Geodesic
Jacob's ladders, interactions between $\zeta $-oscillating systems, and a $\zeta $-analogue of an elementary trigonometric identity
Informatics and Automation, Analytic number theory, Tome 299 (2017), pp. 203-218.

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In our previous papers, within the theory of the Riemann zeta-function we have introduced the following notions: Jacob's ladders, oscillating systems, $\zeta $-factorization, metamorphoses, etc. In this paper we obtain a $\zeta $-analogue of an elementary trigonometric identity and other interactions between oscillating systems.
Keywords: Riemann zeta-function. 
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Jan Moser. Jacob's ladders, interactions between $\zeta $-oscillating systems, and a $\zeta $-analogue of an elementary trigonometric identity. Informatics and Automation, Analytic number theory, Tome 299 (2017), pp. 203-218. http://geodesic.mathdoc.fr/item/TRSPY_2017_299_a12/

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