Balancing and Lucas-balancing numbers as difference of two repdigits
Number Theory
2025-03-06 v2
Abstract
Positive integers with all digits equal are called repdigits. In this paper, we find all balancing and Lucas-balancing numbers, which can be expressed as the difference of two repdigits. 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.
Keywords
Cite
@article{arxiv.2405.15839,
title = {Balancing and Lucas-balancing numbers as difference of two repdigits},
author = {Monalisa Mohapatra and Pritam Kumar Bhoi and Gopal Krishna Panda},
journal= {arXiv preprint arXiv:2405.15839},
year = {2025}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:2405.04801