Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing dimensions of spaces of Arakelov divisors of number fields   The function $h^0$ for a number field is analogous to the dimension of the
Riemann-Roch spaces at divisors on an algebraic curve. We provide a method to
compute this function for number fields with unit group of rank at most 2, even
with large discriminant. This method is based on using LLL-reduced bases, the
"jump algorithm" and Poisson summation formula.

33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph