Thabit and Williams Numbers Base $b$ as a Sum or Difference of Two $g$-Repdigits
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914315153440768 |
|---|---|
| author | Adédji, Kouèssi Norbert Trebješanin, Marija Bliznac Pleština, Jelena |
| author_facet | Adédji, Kouèssi Norbert Trebješanin, Marija Bliznac Pleština, Jelena |
| contents | We investigate cases where Thabit and Williams numbers in base $b$ can be expressed as the sum or difference of two $g$-repdigits. For specific values of $b$ and $g$, we describe parametric solutions yielding infinitely many solutions for some equations and establish upper bounds for the parameters of the remaining finitely many solutions. As an illustration, we also provide a complete solution for some equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thabit and Williams Numbers Base $b$ as a Sum or Difference of Two $g$-Repdigits Adédji, Kouèssi Norbert Trebješanin, Marija Bliznac Pleština, Jelena Number Theory 11D61, 11J68, 11J86 We investigate cases where Thabit and Williams numbers in base $b$ can be expressed as the sum or difference of two $g$-repdigits. For specific values of $b$ and $g$, we describe parametric solutions yielding infinitely many solutions for some equations and establish upper bounds for the parameters of the remaining finitely many solutions. As an illustration, we also provide a complete solution for some equations. |
| title | Thabit and Williams Numbers Base $b$ as a Sum or Difference of Two $g$-Repdigits |
| topic | Number Theory 11D61, 11J68, 11J86 |
| url | https://arxiv.org/abs/2507.12906 |