Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heden's bound on the tail of a vector space partition   A vector space partition of $\mathbb{F}_q^v$ is a collection of subspaces
such that every non-zero vector is contained in a unique element. We improve a
lower bound of Heden, in a subcase, on the number of elements of the smallest
occurring dimension in a vector space partition. To this end, we introduce the
notion of $q^r$-divisible sets of $k$-subspaces in $\mathbb{F}_q^v$. By
geometric arguments we obtain non-existence results for these objects, which
then imply the improved result of Heden.

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The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys