Authors define hypergeometric exponential sums and sheaves for reductive groups, introduce hypergeometric D-modules, prove holonomicity and rank bounds, and use Fourier transforms to estimate the sums.
Brion, Variétés sphériques, available at http://www -fourier.ujf-grenoble.fr/~ mbrion/spheriques.pdf, 199 7
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Hypergeometric $\mathcal D$-modules and exponential sums for reductive groups
Authors define hypergeometric exponential sums and sheaves for reductive groups, introduce hypergeometric D-modules, prove holonomicity and rank bounds, and use Fourier transforms to estimate the sums.