TL;DR
This paper explores advanced functions related to real number representations, focusing on generalized Salem functions and extensions of the Gauss-Kuzmin problem, contributing to the understanding of number theory and dynamical systems.
Contribution
It introduces new generalizations of Salem functions and extends the Gauss-Kuzmin problem within the context of real number representations.
Findings
New generalized Salem functions proposed
Extensions of the Gauss-Kuzmin problem developed
Insights into real number representations obtained
Abstract
The present article is devoted to the description of further investigations of the author of this article. These investigations (in terms of various representations of real numbers) include the generalized Salem functions and generalizations of the Gauss-Kuzmin problem.
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