Sums of Squares of Integers Except for a Fixed One
Year: 2025
Type: article
Abstract: We study sums 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 n . This problem could be considered as a generalisation of the result of Dubouis [‘Solution of a problem of J. Tannery’, Intermédiaire Math. 18 (1911), 55–56] for the case when $n=0$ .
Authors: WONJUN CHAE, YUN-SEONG JI, KISUK KIM, KYOUNGMIN KIM, BYEONG-KWEON OH, JONGHEUN YOON
Institutions: Seoul National University, Hannam University, Charles University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,550
OpenAlex ID: W4416387273