Balancing numbers which are products of three repdigits in base \(b\)

DOI10.1007/S40590-023-00516-0zbMath1525.11015OpenAlexW4379142223MaRDI QIDQ6133364

Kouèssi Norbert Adédji

Publication date: 24 July 2023

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/s40590-023-00516-0

zbMATH Keywords

reduction methodlogarithmic heightbalancing numbers\(b\) repdigits

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68)

Cites Work

• Fibonacci or Lucas numbers which are products of two repdigits in base \(b\)
• On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\)
• Tribonacci numbers that are concatenations of two repdigits
• Padovan and Perrin numbers which are products of two repdigits in base \(b\)
• Repdigits base \(b\) as products of two Pell numbers or Pell-Lucas numbers
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• 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
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