Arithmetic of the Fabius function

zbMath1423.26009arXiv1702.06487MaRDI QIDQ5384262

Juan Arias de Reyna

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1702.06487

zbMATH Keywords

dyadic pointsrational valuesFabius functionRvachëv function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Other functions coming from differential, difference and integral equations (33E30) Special sequences and polynomials (11B83)

Related Items (1)

Greedy approximations by signed harmonic sums and the Thue-Morse sequence

Uses Software

• MathOverflow

Cites Work

• On the functional-differential equation of advanced type \(f^{\prime}(x)=af(2x)\) with \(f(0)=0\)
• Compactly supported solutions of functional-differential equations and their applications
• A probabilistic example of a nowhere analytic C ?-function
• Binomial Coefficients Modulo a Prime
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