Let g be a real-valued multiplicative function defined on the set of pairs of positive integers such that $g(2^{j},2^{k})=g(3^{j},3^{k})=1$ for all non-negative ...

A deep problem in analytic number theory is to understand correlations of general multiplicative functions. In this talk, we derive correlations formulas for so-called bounded “pretentious” ...

Abstract: An approach for determining the correlation functions of the noise modulation function under the influence of modulating (or more often multiplicative) noise is described. Both stationary ...

In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the ...