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- W2509481203 abstract "We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at $${4m+12}$$ points for $${m geq 1}$$ , which appear in pairs due to a symmetry condition. We parameterize this linear system in terms of a set of kernels at the singular points. We regard the system of discrete isomonodromic deformations as an elliptic analogue of the Garnier system. We identify the special case in which m = 1 with the elliptic Painlevé equation; hence, this work provides an explicit form and Lax pair for the elliptic Painlevé equation." @default.
- W2509481203 created "2016-09-16" @default.
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- W2509481203 date "2017-07-24" @default.
- W2509481203 modified "2023-10-11" @default.
- W2509481203 title "An Elliptic Garnier System" @default.
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- W2509481203 doi "https://doi.org/10.1007/s00220-017-2934-6" @default.
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