有理停车函数与LLT多项式
Rational Parking Functions and LLT Polynomials
摘要：
我们证明了“有理洗牌猜想”的组合侧提供了一个舒尔正对称多项式。进一步证明了给定有理Dyck路的贡献可以用某个斜LLT多项式来计算，从而推广了Haglund，Haiman，Loehr，Remmel和Ulyanov的结果.相应的斜交图被明确地描述在某个（m，n）-核心方面。
英文摘要：
We prove that the combinatorial side of the "Rational Shuffle Conjecture" provides a Schur-positive symmetric polynomial. Furthermore, we prove that the contribution of a given rational Dyck path can be computed as a certain skew LLT polynomial, thus generalizing the result of Haglund, Haiman, Loehr, Remmel and Ulyanov. The corresponding skew diagram is described explicitly in terms of a certain (m,n)-core.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
