Associated Pell numbers which are repdigits or concatenation of two repdigits

DOI10.1007/s40590-021-00360-0zbMath1484.11057OpenAlexW3167790492MaRDI QIDQ2048404

Sai Gopal Rayaguru, G. K. Panda, Zafer Ṣiar

Publication date: 5 August 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/s40590-021-00360-0

zbMATH Keywords

linear forms in \(p\)-adic logarithmsLucas-balancing numbersrepdigitsassociated Pell numbers

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)

Related Items (3)

Balancing and Lucas-balancing numbers which are concatenation of three repdigits ⋮ Unnamed Item ⋮ Generalized Lucas numbers which are concatenations of two repdigits

Cites Work

• 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
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