On Transcendental Regular Continued Fractions
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Gülcan Kekeç
ABSTRACT
We establish explicit constructions of real transcendental numbers that are not U-numbers with respect to Mahler’s classification by using regular continued fraction expansions of irrational real algebraic numbers.
Funding statement: This research is supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) with project number 121F219.
Acknowledgement
The author acknowledges the referees for their valuable suggestions and comments.
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Artikel in diesem Heft
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Artikel in diesem Heft
-
- Regular Double p-Algebras: A Converse to a Katriňák Theorem and Applications
- Uniform Local Connectedness and Completion of Metric σ-Frames
- On Transcendental Regular Continued Fractions
- On Repdigits Which are Sums or Differences of Two k-Pell Numbers
- Peirce Decompositions for Evolution Algebras
- Generalized Anti-Symmetry Laws in Groupoids
- New Bounds of Cyclic Jensen’s Differences via Weighted Hadamard Inequalities with Applications
- Geometric Properties of Generalized Bessel Function Associated with the Exponential Function
- On the Attainable Set of Iterative Differential Inclusions
- On the Differential-Difference Sine-Gordon Equation with an Integral Type Source
- A Critical p(x)-Laplacian Steklov Type Problem with Weights
- Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm
- Some Approximation Properties of Operators Including Degenerate Appell Polynomials
- Operators that are Weakly Coercive and a Compact Perturbation
- On the Structure Lie Operator of a Real Hypersurface in the Complex Quadric
- Paracompactness and Open Relations
- On (Strongly) (Θ-)Discrete Homogeneous Spaces
- The Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses
- Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds
