Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion

DOI10.1016/J.JNT.2003.09.010zbMath1051.11040OpenAlexW2036425133MaRDI QIDQ597124

Taka-aki Tanaka

Publication date: 6 August 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.09.010

zbMATH Keywords

Fibonacci numbersContinued fractionsAlgebraic independenceMahler functions

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences

Cites Work

• On the algebraic independence of holomorphic solutions of certain functional equations and their values
• Algebraic independence results related to linear recurrences
• Mahler functions and transcendence
• A class of transcendental numbers having explicit g-adic and Jacobi-Perron expansions of arbitrary dimension
• Algebraic independence of the values of power series generated by linear recurrences
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