Repdigits as difference of two balancing or Lucas-balancing numbers
General Mathematics
2024-05-09 v1
Abstract
Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we study the problem of writing repdigits as the difference of two balancing or Lucas-balancing numbers. The method of proof involves the application of Baker's theory for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure. Computations are done with the help of a simple computer program in {\it Mathematica}.
Cite
@article{arxiv.2405.04801,
title = {Repdigits as difference of two balancing or Lucas-balancing numbers},
author = {Monalisa Mohapatra and Pritam Kumar Bhoi and Gopal Krishna Panda},
journal= {arXiv preprint arXiv:2405.04801},
year = {2024}
}
Comments
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