Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determining Hilbert Modular Forms by Central Values of Rankin-Selberg
  Convolutions: The Level Aspect   In this paper, we prove that a primitive Hilbert cusp form $\mathbf{g}$ is
uniquely determined by the central values of the Rankin-Selberg $L$-functions
$L(\mathbf{f}\otimes\mathbf{g}, \frac{1}{2})$, where $\mathbf{f}$ runs through
all primitive Hilbert cusp forms of level $\mathfrak{q}$ for infinitely many
prime ideals $\mathfrak{q}$. This result is a generalization of a theorem of
Luo to the setting of totally real number fields.

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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph