Repdigits in the base $b$ as sums of four balancing numbers

DOI10.21136/MB.2020.0077-19zbMath1495.11010OpenAlexW3002162953MaRDI QIDQ5858510

Refik Keskin, Fatih Erduvan

Publication date: 13 April 2021

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2020.0077-19

zbMATH Keywords

Diophantine equationslinear form in logarithmsbalancing numberrepdigit

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (4)

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

Cites Work

• Repdigits as sums of three Pell numbers
• Repdigits as sums of four Pell numbers
• Cobalancing numbers and cobalancers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
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