Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit determination of images of Galois representations attached to
  Hilbert modular forms   In a previous article, the second author proved that the image of the Galois
representation mod $\lambda$ attached to a Hilbert modular newform is large or
all but finitely many primes $\lambda$, if the form is not a theta series. In
this brief note, we give an explicit bound for this exceptional finite set of
primes and determine the images in three different examples. Our examples are
of Hilbert newforms on real quadratic fields, of parallel or non-parallel
weight and of different levels.

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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: stat