A note on rational numbers and certain operators

Abstract

This paper is devoted to conditions defined in terms of the generalized shift operator for a rational number to be representable by certain positive generalizations of $q$-ary expansions.

arXiv comment7 pages

References in corpus (4)

• On certain generalizations of one function and related problems (Systems of functional equations and generalizations of certain functions)
• On some generalizations of real numbers representations
• Cantor series expansions of rational numbers
• Cantor series and rational numbers