Jacob's ladders, crossbreeding, secondary crossbreeding and synergetic phenomena generated by Riemann's zeta-function and some elementary functions on disconnected sets of the critical line
Abstract
In this paper we obtain new complete hybrid formula for corresponding class of ζ-factorization formulas. We demonstrate that this formula is the synergetic one. Namely, this one describes the cooperation between some class of elementary functions and Riemann's zeta-function on a class of disconnected sets on the critical line. Some comparizon between this pure mathematical phenomenon and the Belousov-Zhabotinski chemical reaction is added. DEDICATED TO 110th ANNIVERSARY OF HARDY'S PURE MATHEMATICS
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