5 papers
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…
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…
Minimal rank of primitively -universal integral quadratic forms over local rings
Byeong-Kweon Oh, Jongheun Yoon
Let be a local field and let be its ring of integers. For a positive integer , an integral quadratic form defined over is called primitively -universal if it prim…
Primitively -universal senary integral quadratic forms
Byeong-Kweon Oh, Jongheun Yoon
For a positive integer , a (positive definite integral) quadratic form is called primitively -universal if it primitively represents all quadratic forms of rank . It was p…
The number of representations of squares by integral ternary quadratic forms
Kyoungmin Kim, Byeong-Kweon Oh
Let be a positive definite integral ternary quadratic form and let be the number of representations of an integer by . In this article we study the number of re…