Cantor series expansions of rational numbers

Abstract

This survey is devoted to necessary and suffcient conditions for a rational number to be representable by a Cantor series. Necessary and suffcient conditions are formulated for the case of an arbitrary sequence $(q_k)$.

15 pages

References in corpus (4)

• Non-differentiable functions defined in terms of classical representations of real numbers
• Generalizations of certain representations of real numbers
• Rational numbers represented by sign-variable Cantor series
• Cantor series and rational numbers

Cited by in corpus (2)

• On one map between singular expansions
• A note on rational numbers and certain operators