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Short proofs of the elliptic beta integrals

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 Publication date 2004
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and research's language is English




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We give elementary proofs of the univariate elliptic beta integral with bases $|q|, |p|<1$ and its multiparameter generalizations to integrals on the $A_n$ and $C_n$ root systems. We prove also some new unit circle multiple elliptic beta integrals, which are well defined for $|q|=1$, and their $pto 0$ degenerations.



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