Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers

DOI10.1007/s10474-020-01060-3zbMath1474.11129arXiv1908.07290OpenAlexW3039330220MaRDI QIDQ2221013

Yanyan Li

Publication date: 25 January 2021

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07290

zbMATH Keywords

Lambert serieslinear independenceFibonacci numberLucas number

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72) Primes (11A41)

Related Items (1)

Linear independence of certain sums of reciprocals of the Lucas numbers

Cites Work

• Irrationality of the sum of inverses of the Fibonacci sequence
• Fonctions méromorphes dans le cercle-unité et leurs séries de Taylor
• Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers
• On the irrationality of \(\sum \frac{t^n} {A\alpha^n+ B\beta^n}\)
• Complex Pisot numbers of small modulus.
• Irrationality measures for the series of reciprocals from recurrence sequences.
• Irrationality of certain Lambert series
• Algebraic integers whose conjugates lie in the unit circle
• On series involving Fibonacci and Lucas numbers I
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