Sums of squares of integers except for a fixed one
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917976606769152 |
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| author | Chae, Wonjun Ji, Yun-seong Kim, Kisuk Kim, Kyoungmin Oh, Byeong-Kweon Yoon, Jongheun |
| author_facet | Chae, Wonjun Ji, Yun-seong Kim, Kisuk Kim, Kyoungmin Oh, Byeong-Kweon Yoon, Jongheun |
| contents | In this article, we study a sum of squares of integers except for a fixed one. For any nonnegative integer $n$, we find the minimum number of squares of integers except for $n$ whose sums represent all positive integers that are represented by a sum of squares except for it. This problem could be considered as a generalization of Dubouis's result for the case when $n=0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03467 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sums of squares of integers except for a fixed one Chae, Wonjun Ji, Yun-seong Kim, Kisuk Kim, Kyoungmin Oh, Byeong-Kweon Yoon, Jongheun Number Theory 11E20, 11E25 In this article, we study a sum of squares of integers except for a fixed one. For any nonnegative integer $n$, we find the minimum number of squares of integers except for $n$ whose sums represent all positive integers that are represented by a sum of squares except for it. This problem could be considered as a generalization of Dubouis's result for the case when $n=0$. |
| title | Sums of squares of integers except for a fixed one |
| topic | Number Theory 11E20, 11E25 |
| url | https://arxiv.org/abs/2504.03467 |