Jongheun Yoon

collaborators

3 papers

math.NT2025

Asymptotics of $n$ -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 $n$ -universal lattices over the ring of integers of totally real number fields. We also show that,…

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 $n$ , we find the minimum number of squares of integers except for $n$ who…

math.NT2024

Minimal rank of primitively $n$ -universal integral quadratic forms over local rings

Byeong-Kweon Oh, Jongheun Yoon

Let $F$ be a local field and let $R$ be its ring of integers. For a positive integer $n$ , an integral quadratic form defined over $R$ is called primitively $n$ -universal if it prim…

Asymptotics of n-universal lattices over number fields

Sums of squares of integers except for a fixed one

Minimal rank of primitively n-universal integral quadratic forms over local rings

Asymptotics of $n$ -universal lattices over number fields

Minimal rank of primitively $n$ -universal integral quadratic forms over local rings