2 problems

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Rhoades–Tewari conjecture on the nonnegative LLT coefficients
Rhoades–Tewari conjecture. The coefficients satisfy
Conjecturesolvedll-t-polynomials schur-positivity symmetric-functionsarXiv posted 2 days ago
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Trivariate shuffle conjecture for selected hook shapes
Let $\rho=(a\,|\,b)$ be a hook, let $\Gamma_a$ be the Dyck path defined in the source, and let $\mathbb{L}_\beta(t;\bm{z})$ be the LLT polynomial associated with a Dyck path…
Conjectureopendyck-paths ll-t-polynomials shuffle-conjecturearXiv posted 2 days ago

Rhoades–Tewari conjecture on the nonnegative LLT coefficients