Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dihedral Galois representations and Katz modular forms   We show that any two-dimensional odd dihedral representation \rho over a
finite field of characteristic p>0 of the absolute Galois group of the rational
numbers can be obtained from a Katz modular form of level N, character \epsilon
and weight k, where N is the conductor, \epsilon is the prime-to-p part of the
determinant and k is the so-called minimal weight of \rho. In particular, k=1
if and only if \rho is unramified at p. Direct arguments are used in the
exceptional cases, where general results on weight and level lowering are not
available.

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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: hep-ph