4 papers
Asymptotics of -universal lattices over number fields
Dayoon Park, Robin Visser, Pavlo Yatsyna +1
We prove an explicit asymptotic formula for the logarithm of the minimal ranks of -universal lattices over the ring of integers of totally real number fields. We also show that,…
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…