Algebraic independence results related to linear recurrences

zbMath0946.11015MaRDI QIDQ1282261

Taka-aki Tanaka

Publication date: 25 October 2000

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

linear recurrencesMahler's transcendence method

Mathematics Subject Classification ID

Recurrences (11B37) Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

Algebraic independence of certain entire functions of two variables generated by linear recurrences ⋮ Transcendence of certain series involving binary linear recurrences ⋮ Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion ⋮ Transcendence of certain infinite products ⋮ Algebraic independence of the partial derivatives of certain functions with arbitrary number of variables ⋮ Algebraic independence of the values of power series and their derivatives generated by linear recurrences ⋮ Algebraic independence results for a certain family of power series, infinite products, and Lambert type series ⋮ Arithmetic properties of solutions of certain functional equations with transformations represented by matrices including a negative entry ⋮ Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences

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