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On a cubic family of Thue equations involving Fibonacci numbers and powers of two.
- Source :
-
QM - Quaestiones Mathematicae . Feb2023, Vol. 46 Issue 1, p1-21. 21p. - Publication Year :
- 2023
-
Abstract
- In this paper we completely solve the family of parametrised Thue equations where Fn is the n-th Fibonacci number. In particular, for any integer n ≥ 3 the Thue equation has only the trivial solutions (±1; 0); (0;∓1);∓(Fn; 1);∓(2n; 1). [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 46
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 161935825
- Full Text :
- https://doi.org/10.2989/16073606.2021.1983662