Balancing and Lucas-balancing numbers which are concatenation of three repdigits

DOI10.1007/s40590-023-00531-1MaRDI QIDQ6133610

Jhon J. Bravo, Sai Gopal Rayaguru

Publication date: 18 August 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

linear forms in logarithmsbalancing numberrepdigitLucas-balancing number

Mathematics Subject Classification ID

Diophantine equations in many variables (11D72) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86) Sequences (mod (m)) (11B50)

Cites Work

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• Lucas numbers which are concatenations of three repdigits
• Associated Pell numbers which are repdigits or concatenation of two repdigits
• Tribonacci numbers with two blocks of repdigits
• Padovan numbers that are concatenations of two distinct repdigits
• Tribonacci numbers that are concatenations of two repdigits
• Balancing numbers which are concatenation 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
• Repdigits as products of consecutive balancing or Lucas-balancing numbers
• Fibonacci numbers which are concatenations of two repdigits
• Repdigits in the base $b$ as sums of four balancing numbers

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