scientific article; zbMATH DE number 7128260

DOI10.4134/JKMS.j180578zbMath1468.11021MaRDI QIDQ5242992

Do Yong Kwon

Publication date: 8 November 2019

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

singular functionDiophantine approximationcontinued fractionSturmian word

Mathematics Subject Classification ID

Combinatorics on words (68R15) Singular functions, Cantor functions, functions with other special properties (26A30) Continued fractions (11A55) Homogeneous approximation to one number (11J04)

Related Items (1)

Discontinuous, although ``highly differentiable, real functions and algebraic genericity

Cites Work

• A one-parameter family of Dirichlet series whose coefficients are Sturmian words
• Certain words on the real projective line
• Transcendence of Sturmian or morphic continued fractions
• Moments of discrete measures with dense jumps induced by \(\beta\)-expansions
• Differentiability of the Minkowski question mark function
• On theβ-expansions of real numbers
• A devil's staircase from rotations and irrationality measures for Liouville numbers
• The fractional totient function and Sturmian Dirichlet series
• On Some Singular Monotonic Functions Which Are Strictly Increasing
• Rational approximations to algebraic numbers
• The derivative of Minkowski's \(?(x)\) function
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