Repdigits in \(k\)-Lucas sequences
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Publication:2253675
DOI10.1007/s12044-014-0174-7zbMath1382.11019OpenAlexW2011291426MaRDI QIDQ2253675
Publication date: 12 February 2015
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12044-014-0174-7
lower bounds for nonzero linear forms in logarithms of algebraic numbersrepdigitsgeneralized Fibonacci and Lucas numbers
Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)
Related Items (10)
$k$-generalized Pell numbers which are repdigits in base $b$ ⋮ \(k\)-generalized Pell numbers which are concatenation of two repdigits ⋮ Unnamed Item ⋮ Repdigits as sums of two generalized Lucas numbers ⋮ On \(k\)-Fibonacci and \(k\)-Lucas numbers written as a product of two Pell numbers ⋮ Repdigits in generalized Pell sequences ⋮ Fermat $k$-Fibonacci and $k$-Lucas numbers ⋮ \(k\)-Fibonacci and \(k\)-Lucas numbers as product of two repdigits ⋮ Generalized Lucas numbers which are concatenations of two repdigits ⋮ On the intersection of \(k\)-Lucas sequences and some binary sequences
Cites Work
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- The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
- 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
- On a conjecture about repdigits in k-generalized Fibonacci sequences
- Generalized Fibonacci and Lucas Sequences and Rootfinding Methods
- Generalized Fibonacci Numbers and Associated Matrices
- On the Periods of Generalized Fibonacci Recurrences
- A simplified Binet formula for k-generalized Fibonacci numbers
- On Generalized Fibonacci Numbers
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