Lucas numbers which are concatenations of two repdigits
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Publication:2024020
DOI10.1007/s40590-021-00341-3zbMath1481.11021OpenAlexW3133419984MaRDI QIDQ2024020
Publication date: 3 May 2021
Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40590-021-00341-3
Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)
Related Items (5)
Repdigits as difference of two Fibonacci or Lucas numbers ⋮ Fibonacci and Lucas numbers as difference of two repdigits ⋮ On concatenations of two Padovan and Perrin numbers ⋮ Padovan numbers which are palindromic concatenations of two distinct repdigits ⋮ Generalized Lucas numbers which are concatenations of two repdigits
Cites Work
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- Linear forms in logarithms and applications
- Tribonacci numbers that are concatenations of two repdigits
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- Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
- An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
- Products of $k$-Fibonacci numbers which are rep-digits
- On the $x-$coordinates of Pell equations which are sums of two Padovan numbers
- Powers of two as sums of two k-Fibonacci numbers
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