Sums of squares of integers except for a fixed one

2025/04/04 by WONJUN CHAE, Wonjun Chae, Chae, Wonjun +14 · 1 citation
Mathematics · Physics and Astronomy · #11E20 #11E25 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2504.03467

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.

Citations

• Quaternary Quadratic Forms Representing all Integers

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