Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted period relations for Lauricella's hypergeometric function F_A   We study Lauricella's hypergeometric function $F_A$ of $m$-variables and the
system $E_A$ of differential equations annihilating $F_A$, by using twisted
(co)homology groups. We construct twisted cycles with respect to an integral
representation of Euler type of $F_A$. These cycles correspond to $2^m$
linearly independent solutions to $E_A$, which are expressed by hypergeometric
series $F_A$. Using intersection forms of twisted (co)homology groups, we
obtain twisted period relations which give quadratic relations for Lauricella's
$F_A$.

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The categories of this paper are: hep-lat
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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: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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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: funct-an
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The categories of this paper are: nucl-th
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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: solv-int