Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $k$-universal quadratic lattices over unramified dyadic local fields   Let $k$ be a positive integer and let $F$ be a finite unramified extension of
$\mathbb{Q}_2$ with ring of integers $\mathcal{O}_F$. An integral (resp.
classic) quadratic form over $\mathcal{O}_F$ is called $k$-universal (resp.
classically $k$-universal) if it represents all integral (resp. classic)
quadratic forms of dimension $k$. In this paper, we provide a complete
classification of $k$-universal and classically $k$-universal quadratic forms
over $\mathcal{O}_F$. The results are stated in terms of the fundamental
invariants associated to Jordan splittings of quadratic lattices.

37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th