A bijective proof and generalization of Siladić's Theorem

@article{Konan2020ABP,
  title={A bijective proof and generalization of Siladi{\'c}'s Theorem},
  author={Isaac Konan},
  journal={Eur. J. Comb.},
  year={2020},
  volume={87},
  pages={103101}
}
  • Isaac Konan
  • Published 31 May 2019
  • Computer Science, Mathematics
  • Eur. J. Comb.
In a recent paper, Dousse introduced a refinement of Siladic's theorem on partitions, where parts occur in two primary and three secondary colors. Her proof used the method of weighted words and $q$-difference equations. The purpose of this paper is to give a bijective proof of a generalization of Dousse's theorem from two primary colors to an arbitrary number of primary colors. 
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