$e$-Positivity Results and Conjectures

    Dun Qiu
    Dun Qiu
    Marino Romero
    Marino Romero

    arXiv: Combinatorics, 2019.

    Cited by: 0|Bibtex|Views0|

    Abstract:

    In a 2016 ArXiv posting F. Bergeron listed a variety of symmetric functions $G[X;q]$ with the property that $G[X;1+q]$ is $e$-positive. A large subvariety of his examples could be explained by the conjecture that the Dyck path LLT polynomials exhibit the same phenomenon. In this paper we list the results of computer explorations which sug...More

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