Pell and Pell-Lucas numbers as sums of two repdigits
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Publication:2305622
DOI10.1007/s40840-019-00739-3zbMath1452.11020OpenAlexW2914070079MaRDI QIDQ2305622
Chèfiath Adegbindin, Florian Luca, Alain S. Togbé
Publication date: 11 March 2020
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-019-00739-3
Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)
Related Items (13)
On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers ⋮ Narayana numbers as sums of two base b repdigits ⋮ Pell and Pell-Lucas numbers as difference of two repdigits ⋮ Pell and Pell-Lucas numbers as product of two repdigits ⋮ On repdigits which are sums or differences of two \(k\)-Pell numbers ⋮ Unnamed Item ⋮ Can a Lucas number be a sum of three repdigits? ⋮ Unnamed Item ⋮ Generalization of a theorem of Adegbindin, Luca and Togbé ⋮ Unnamed Item ⋮ Repdigits base \(b\) as products of two Fibonacci numbers ⋮ Unnamed Item ⋮ \(k\)-Pell numbers as product of two repdigits
Cites Work
- Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
- Distinct digits in basebexpansions of linear recurrence sequences
- An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
- On a conjecture about repdigits in k-generalized Fibonacci sequences
- On terms of linear recurrence sequences with only one distinct block of digits
- On the $x$-coordinates of Pell equations which are rep-digits
- On integers with identical digits
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