Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-vanishing of Rankin-Selberg Convolutions for Hilbert Modular Form   In this paper, we study the non-vanishing of the central values of the
Rankin-Selberg $L$-function of two ad\`elic Hilbert primitive forms ${\bf f}$
and ${\bf g}$, both of which have varying weight parameter $k$. We prove that,
for sufficiently large $k$, there are at least $\frac{k}{(\log k)^{c}}$
ad\`elic Hilbert primitive forms ${\bf f}$ of weight $k$ for which $L(\frac12,
{\bf f}\otimes{\bf g})$ are nonzero.

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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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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: chao-dyn
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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: stat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc