Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Siegel invariants of certain CM-fields   We first construct Siegel invariants of some CM-fields in terms of special
values of theta constants, which would be a generalization of
Siegel-Ramachandra invariants of imaginary quadratic fields. And, we further
describe Galois actions on these invariants and provide some numerical examples
to show that this invariant really generates the ray class field of a CM-field.

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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th