Lucas numbers which are concatenations of three repdigits

DOI10.1007/s00025-020-01314-0zbMath1485.11028OpenAlexW3119452307MaRDI QIDQ2034856

Fatih Erduvan, Refik Keskin

Publication date: 23 June 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01314-0

zbMATH Keywords

linear forms in logarithmsDiophantine equationsLucas numberconcatenationsrepdigit

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items

Fibonacci and Lucas numbers as difference of two repdigits ⋮ On concatenations of two Padovan and Perrin numbers ⋮ Balancing and Lucas-balancing numbers which are concatenation of three repdigits ⋮ On concatenations of Fibonacci and Lucas numbers

Cites Work

• Tribonacci numbers that are concatenations of two repdigits
• 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
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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