Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upper bounds on the heights of polynomials and rational fractions from
  their values   Let $F$ be a univariate polynomial or rational fraction of degree $d$ defined
over a number field. We give bounds from above on the absolute logarithmic Weil
height of $F$ in terms of the heights of its values at small integers: we
review well-known bounds obtained from interpolation algorithms given values at
$d+1$ (resp. $2d+1$) points, and obtain tighter results when considering a
larger number of evaluation points.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th