Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2508.01611 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918338968420352 |
|---|---|
| author | Wu, Hui-Ling Lou, S. Y. |
| author_facet | Wu, Hui-Ling Lou, S. Y. |
| contents | This paper introduces permutation-invariant Niven numbers--a novel class of Niven numbers where all digit permutations (with leading zeros automatically ignored) must retain the Niven property. We demonstrate that there exist infinitely many such numbers and that their magnitude is unbounded. Furthermore, we present an exhaustive search method for identifying permutation--invariant Niven numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01611 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Permutation--invariant Niven numbers Wu, Hui-Ling Lou, S. Y. Combinatorics Number Theory This paper introduces permutation-invariant Niven numbers--a novel class of Niven numbers where all digit permutations (with leading zeros automatically ignored) must retain the Niven property. We demonstrate that there exist infinitely many such numbers and that their magnitude is unbounded. Furthermore, we present an exhaustive search method for identifying permutation--invariant Niven numbers. |
| title | Permutation--invariant Niven numbers |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2508.01611 |