Every arithmetic progression contains infinitely many $b$-Niven numbers
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911877502599168 |
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| author | Harrington, Joshua Litman, Matthew Wong, Tony W. H. |
| author_facet | Harrington, Joshua Litman, Matthew Wong, Tony W. H. |
| contents | For an integer $b\geq 2$, a positive integer is called a $b$-Niven number if it is a multiple of the sum of the digits in its base-$b$ representation. In this article, we show that every arithmetic progression contains infinitely many $b$-Niven numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_06534 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Every arithmetic progression contains infinitely many $b$-Niven numbers Harrington, Joshua Litman, Matthew Wong, Tony W. H. Number Theory 11A63, 11B25 For an integer $b\geq 2$, a positive integer is called a $b$-Niven number if it is a multiple of the sum of the digits in its base-$b$ representation. In this article, we show that every arithmetic progression contains infinitely many $b$-Niven numbers. |
| title | Every arithmetic progression contains infinitely many $b$-Niven numbers |
| topic | Number Theory 11A63, 11B25 |
| url | https://arxiv.org/abs/2303.06534 |