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- W2952048604 abstract "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 $F_A$." @default.
- W2952048604 created "2019-06-27" @default.
- W2952048604 creator A5007391827 @default.
- W2952048604 date "2013-10-23" @default.
- W2952048604 modified "2023-09-27" @default.
- W2952048604 title "Twisted period relations for Lauricella's hypergeometric function F_A" @default.
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