5 problems

The permutation formulation of the rational Shuffle Conjecture
Permutation formulation of the rational Shuffle Conjecture. The following equation holds:
openFrom papersaffine-permutations quasisymmetric-functions rational-parking-functions
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4
The rational Shuffle Conjecture
The rational Shuffle Conjecture. The following equation holds:
openFrom papersquasisymmetric-functions rational-parking-functions shuffle-conjecture
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3
Non-coprime rational parking-function Shuffle Conjecture
Non-coprime rational Shuffle Conjecture. For all coprime pairs of positive integers $(m,n)$ and any $k\in\mathbb{N}$ ,
openFrom papersrational-parking-functions shuffle-conjecture symmetric-functions
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4
Gorsky–Negut rational Shuffle Conjecture for Hikita polynomials
Gorsky–Negut rational Shuffle Conjecture. For all coprime pairs of positive integers $(m,n)$ ,
openFrom papersrational-parking-functions shuffle-conjecture symmetric-functions
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4
Loehr–Warrington rational parking-function Frobenius conjectures
Let $\mathsf{PF}_{a,b}(q,t)$ be the symmetric function defined from rational parking functions, and let ${\sf Sch}_{a,b;k}(q,t)$ denote the coefficient of $s_{(k+1,1^{a-k-1})}$ in…
openFrom papersq-t-enumeration rational-parking-functions symmetric-functions
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5

The permutation formulation of the rational Shuffle Conjecture