Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular vectors in affine subspaces and $\Psi$-Dirichlet numbers   We prove inheritance of measure zero property of the set of singular vectors
for affine subspaces and submanifolds inside them in both $\mathbb{R}$ and
function field over finite fields. Another result of this paper shows that the
only $\psi$-Dirichlet numbers in a function field over a finite field are
rational functions, unlike $\psi$-Dirichlet numbers in $\mathbb{R}$. We also
prove that there are uncountably many totally irrational singular vectors with
large uniform exponent in quadratic surfaces over a positive characteristic
field.

28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph