Cantor series expansions of rational numbers

Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Irrationality; linear independence over a field (11J72)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
On the irrationality of factorial series. III
Some fractals associated with Cantor expansions
On the distribution of digits in Cantor representations of integers
Representations of real numbers by infinite series
On simple number systems.
On the rationality of Cantor and Ahmes series
Rational numbers defined in terms of certain generalized series
A note on expansions of rational numbers by certain series
Generalizations of certain representations of real numbers
On the irrationality of factorial series. II
Diophantine Approximations of Infinite Series and Products
Distribution properties of sequences generated by Q-additive functions with respect to Cantor representation of integers
On a new axiomatic theory of probability
Representations for real numbers and their ergodic properties
Some further statistical properties of the digits in Cantor's series
A Geometric Proof that 𝑒 Is Irrational and a New Measure of Its Irrationality
A Geometric Proof to Cantor's Theorem and an Irrationality Measure for Some Cantor's Series
Cantor's Series for Vectors
Uniformly distributed sequences mod 1 and Cantor's series representation
A Nowhere Differentiable Continuous Function Constructed Using Cantor Series
On the irrationality of Cantor series
Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers
Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers
Number theoretic applications of a class of Cantor series fractal functions, II
On the irrationality of factorial series
A transcendence criterion for Cantor series
Representation of real numbers by the alternating Cantor series
Hausdorff dimension of set of real numbers characterized by digit properties in a Cantor expansion
Criteria for Irrationality of Certain Classes of Numbers
Criteria for Irrationality of Certain Classes of Numbers. II
On the irrationality of certain series