Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Arithmetic determination of the trace   Let $K$ be a number field, which is tame and non totally real. In this
article we give a numerical criterion, depending only on the ramification
behavior of ramified primes in $K$, to decide whether or not the integral trace
of $K$ is isometric to the integral trace of another number field $L$. As a
byproduct of our proofs here, and in contrast with our previous results for
cubic fields of positive discriminant, we show that for cubic fields of
negative discriminant isometry between integral traces is equivalent to
equality of discriminants.

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The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat