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arXiv · 2504.03467

Sums of squares of integers except for a fixed one

Wonjun Chae·Yun-seong Ji·Kisuk Kim·Kyoungmin Kim·Byeong-Kweon Oh·Jongheun Yoon
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Abstract

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 $n=0$.

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Wonjun Chae, Yun-seong Ji, Kisuk Kim, Kyoungmin Kim, Byeong-Kweon Oh, Jongheun Yoon. 2025-04-04. Sums of squares of integers except for a fixed one. https://arxiv.org/abs/2504.03467

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