Jacob’s Ladders, Interactions between ζ-Oscillating Systems, and a ζ-Analogue of an Elementary Trigonometric Identity

Аннотация

In our previous papers, within the theory of the Riemann zeta-function we have introduced the following notions: Jacob’s ladders, oscillating systems, ζ-factorization, metamorphoses, etc. In this paper we obtain a ζ-analogue of an elementary trigonometric identity and other interactions between oscillating systems.