Irrationality measures for the series of reciprocals from recurrence sequences.
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Publication:1864861
DOI10.1006/jnth.2002.2795zbMath1069.11030OpenAlexW1980030248MaRDI QIDQ1864861
Tapani Matala-aho, Marc Prevost
Publication date: 23 March 2003
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/592bcfc34efc936c98376b4a7be614914fffa853
Related Items (3)
Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers ⋮ Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers ⋮ Summation of certain infinite Lucas-related series
Cites Work
- Plus petit commun multiple des termes consécutifs d'une suite récurrente linéaire. (Least common multiple of consecutive terms of a linear recurrent sequence)
- Linear independence of the values of transcendental solutions of certain functional equations.
- On the irrationality of \(\sum \frac{t^n} {A\alpha^n+ B\beta^n}\)
- Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers
- Mahler functions and transcendence
- Functions which take on integral values
- On the irrationality of \(\sum (1/(q^ n+r))\)
- Indépendance linéaire des valeurs des solutions transcendantes de certaines équations fonctionnelles II
- On approximation measures of q-logarithms
- Modular functions and transcendence questions
- On the irrationality of certain series
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