255 citations · 1.5k across the 50 of their papers we have counts for
Showing 2004 · math.CAShow all
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math.CA2004★ 2 cited
Inversions of integral operators and elliptic beta integrals on root systems
Vyacheslav P. Spiridonov, S. Ole Warnaar
We prove a novel type of inversion formula for elliptic hypergeometric integrals associated to a pair of root systems. Using the (A,C) inversion formula to invert one of the known…
math.CA2004★ 4 cited
Short proofs of the elliptic beta integrals
V. P. Spiridonov
We give elementary proofs of the univariate elliptic beta integral with bases and its multiparameter generalizations to integrals on the and root systems.…
math.CA2004
A multiparameter summation formula for Riemann theta functions
V. P. Spiridonov
We generalize Warnaar's elliptic extension of a Macdonald multiparameter summation formula to Riemann surfaces of arbitrary genus.