We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli polynomials. The derivations of results are based functional equations for the respective generating functions, which in case combinations hyperbolic functions. Special cases some corollaries will highlight interesting aspects findings.

In this paper, we investigate the zeta function

Abstract Foreman and Weiss [Measure preserving diffeomorphisms of the torus are unclassifiable. Preprint , 2020, arXiv:1705.04414] obtained an anti-classification result for smooth ergodic diffeomorphisms, up to measure isomorphism, by using a functor $\mathcal {F}$ (see [Foreman Weiss, From odometers circular systems: global structure theorem. J. Mod. Dyn. 15 (2019), 345–423]) mapping odometer...