Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted Fermat curves over totally real fields   Let p be a prime number, F a totally real field such that [F(mu_p): F]=2 and
[F:Q] is odd. For delta \in F^times, let [delta] denote its class in
F^times/F^{times p}. In this paper, we show
  Main Theorem. There are infinitely many classes [delta]\in F^times/F^{times
p} such that the twisted affine Fermat curves W_delta: X^p+Y^p=delta have no
F-rational points.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph