Algebraic independence of reciprocal sums of powers of certain Fibonacci-type numbers

DOI10.7169/FACM/2015.53.1.4zbMath1395.11110OpenAlexW1879833118MaRDI QIDQ1744918

Keijo Väänänen, Peter Bundschuh

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1443444850

zbMATH Keywords

algebraic independence of numbersMahler's methodalgebraic independence of functions

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Functional equations for complex functions (39B32)

Related Items (1)

Algebraic independence of reciprocal sums of powers of certain Fibonacci-type numbers

Cites Work

• Algebraic independence of reciprocal sums of binary recurrences
• Transcendence of reciprocal sums of binary recurrences
• Algebraic independence of reciprocal sums of binary recurrences. II
• Algebraic independence of reciprocal sums of powers of certain Fibonacci-type numbers
• Transcendence of certain reciprocal sums of linear recurrences
• Mahler functions and transcendence
• Algebraic Independence of Sums of Reciprocals of the Fibonacci Numbers
• Transcendency Results for Sums of Reciprocals of Linear Recurrences
• ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES

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