Elliptic enumeration of nonintersecting lattice paths

@article{Schlosser2007EllipticEO,
  title={Elliptic enumeration of nonintersecting lattice paths},
  author={Michael J. Schlosser},
  journal={J. Comb. Theory, Ser. A},
  year={2007},
  volume={114},
  pages={505-521}
}
  • M. Schlosser
  • Published 2007
  • Computer Science, Mathematics
  • J. Comb. Theory, Ser. A
We enumerate lattice paths in the planar integer lattice consisting of positively directed unit vertical and horizontal steps with respect to a specific elliptic weight function. The elliptic generating function of paths from a given starting point to a given end point evaluates to an elliptic generalization of the binomial coefficient. Convolution gives an identity equivalent to Frenkel and Turaev's V"910 summation. This appears to be the first combinatorial proof of the latter, and at the… Expand
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