Transcendency Results for Sums of Reciprocals of Linear Recurrences
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Publication:4845807
DOI10.1002/mana.19941680102zbMath0835.11026OpenAlexW2051428408MaRDI QIDQ4845807
Thomas Töpfer, P.-G. Becker-Landeck
Publication date: 24 October 1995
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19941680102
Related Items (11)
Algebraic Independence of Sums of Reciprocals of the Fibonacci Numbers ⋮ Transcendence of reciprocal sums of binary recurrences ⋮ Transcendence of the values of infinite products in several variables ⋮ Transcendence of certain series involving binary linear recurrences ⋮ Transcendence of infinite products involving Fibonacci and Lucas numbers ⋮ Algebraic independence results for the values of certain Mahler functions and their application to infinite products ⋮ Algebraic independence of reciprocal sums of binary recurrences ⋮ Algebraic independence of reciprocal sums of powers of certain Fibonacci-type numbers ⋮ Transcendental infinite sums ⋮ Transcendental series of reciprocals of Fibonacci and Lucas numbers ⋮ Irrationality results for reciprocal sums of certain Lucas numbers
Cites Work
- On the algebraic independence of holomorphic solutions of certain functional equations and their values
- Irrationality results for reciprocal sums of certain Lucas numbers
- The irrationality of certain infinite series
- On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
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