Repdigits as difference of two balancing or Lucas-balancing numbers
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Mohapatra, Monalisa Bhoi, Pritam Kumar Panda, Gopal Krishna |
| author_facet | Mohapatra, Monalisa Bhoi, Pritam Kumar Panda, Gopal Krishna |
| contents | 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04801 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Repdigits as difference of two balancing or Lucas-balancing numbers Mohapatra, Monalisa Bhoi, Pritam Kumar Panda, Gopal Krishna General Mathematics Primary 11B39, Secondary 11J86, 11D61 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}. |
| title | Repdigits as difference of two balancing or Lucas-balancing numbers |
| topic | General Mathematics Primary 11B39, Secondary 11J86, 11D61 |
| url | https://arxiv.org/abs/2405.04801 |