Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraicity of the central critical values of twisted triple product
  $L$-functions   We study the algebraicity of the central critical values of twisted triple
product $L$-functions associated to motivic Hilbert cusp forms over a totally
real \'etale cubic algebra in the totally unbalanced case. The algebraicity is
expressed in terms of the cohomological period constructed via the theory of
coherent cohomology on quaternionic Shimura varieties developed by Harris. As
an application, we generalize our previous result on Deligne's conjecture for
certain automorphic $L$-functions for ${\rm GL}_3 \times {\rm GL}_2$. We also
establish a relation for the cohomological periods under twisting by algebraic
Hecke characters.

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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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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: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph