Sums of four generalized polygonal numbers of almost prime length
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908974745387008 |
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| author | Ng, Kwan to |
| author_facet | Ng, Kwan to |
| contents | In this paper, we consider sums of four generalized polygonal numbers whose parameters are restricted to integers with a bounded number of prime divisors. With some restriction on m modulo 30, we show that for n sufficiently large, it can be represented as such a sum, where the parameters are restricted to have at most 988 prime factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04274 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sums of four generalized polygonal numbers of almost prime length Ng, Kwan to Number Theory In this paper, we consider sums of four generalized polygonal numbers whose parameters are restricted to integers with a bounded number of prime divisors. With some restriction on m modulo 30, we show that for n sufficiently large, it can be represented as such a sum, where the parameters are restricted to have at most 988 prime factors. |
| title | Sums of four generalized polygonal numbers of almost prime length |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.04274 |