Koba-Nielsen local zeta functions over convex subsets admit meromorphic continuations whose polar loci are described explicitly via embedded resolution, yielding weighted sums of Gamma functions that include generalized Selberg-Mehta-Macdonald and Dotsenko-Fateev integrals.
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Koba-Nielsen local zeta functions, convex subsets, and generalized Selberg-Mehta-Macdonald and Dotsenko-Fateev-like integrals
Koba-Nielsen local zeta functions over convex subsets admit meromorphic continuations whose polar loci are described explicitly via embedded resolution, yielding weighted sums of Gamma functions that include generalized Selberg-Mehta-Macdonald and Dotsenko-Fateev integrals.