Mahler takes a regular view of Zaremba

zbMath1416.11013arXiv1703.04287MaRDI QIDQ5384325

Michael Coons

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1703.04287

zbMATH Keywords

generating functioncontinued fraction expansionZaremba's conjectureMahler-type functional equation

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Metric theory of continued fractions (11K50)

Related Items (1)

ZAREMBA, SALEM AND THE FRACTAL NATURE OF GHOST DISTRIBUTIONS

Cites Work

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• The ring of \(k\)-regular sequences
• \(k\)-regular power series and Mahler-type functional equations
• Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences
• An improvement to Zaremba's conjecture
• Algebraic Independence of Mahler Functions via Radial Asymptotics
• Transcendence tests for Mahler functions
• New approach in Mahler's method.
• The Takagi Function and Its Properties
• Neverending Fractions
• TRANSCENDENCE OVER MEROMORPHIC FUNCTIONS
• An asymptotic approach in Mahler's method
• On Zaremba's conjecture

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