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Sums of squares of integers except for a fixed one (2504.03467v1)

Published 4 Apr 2025 in math.NT

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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