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math.NT2025
Composition laws of binary quadratic forms and isolations of quadratic forms
Jangwon Ju, Daejun Kim, Kyoungmin Kim +2
A positive definite and integral quadratic form is called irrecoverable if there is a quadratic form such that it represents all proper subforms of , whereas it does not…
math.NT2025
Sums of squares of integers except for a fixed one
Wonjun Chae, Yun-seong Ji, Kisuk Kim +3
In this article, we study a sum of squares of integers except for a fixed one. For any nonnegative integer , we find the minimum number of squares of integers except for who…