The q-Painleve VI tau function is constructed analytically as a Fredholm determinant, with zeros detecting non-solvability of the underlying Riemann-Hilbert problem.
On solutions of the Fuji-Suzuki-Tsuda sys- tem
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A Tau function for $q$-Painlev\'e VI as a Fredholm determinant
The q-Painleve VI tau function is constructed analytically as a Fredholm determinant, with zeros detecting non-solvability of the underlying Riemann-Hilbert problem.