Transcendence tests for Mahler functions

DOI10.1090/proc/13297zbMath1365.11092arXiv1511.07530OpenAlexW2963815548MaRDI QIDQ3181316

Michael Coons, Jason P. Bell

Publication date: 29 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07530

zbMATH Keywords

transcendenceMahler functionsradial asymptotics

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Linear difference equations (39A06)

Related Items (10)

Computing solutions of linear Mahler equations ⋮ A sequential view of self--similar measures, or, What the ghosts of Mahler and Cantor can teach us about dimension ⋮ Number Theoretic Aspects of Regular Sequences ⋮ DEGREE-ONE MAHLER FUNCTIONS: ASYMPTOTICS, APPLICATIONS AND SPECULATIONS ⋮ Mahler's method ⋮ Mahler takes a regular view of Zaremba ⋮ Méthode de Mahler, transcendance et relations linéaires : aspects effectifs ⋮ A diffraction abstraction ⋮ Becker’s conjecture on Mahler functions ⋮ The entropy and Hausdorff dimension of self-similar sets

Cites Work

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• Transcendental Solutions of a Class of Minimal Functional Equations
• THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE
• Non-converging continued fractions related to the Stern diatomic sequence
• On a Special Functional Equation

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