A new ``dinv arising from the two part case of the shuffle conjecture
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Publication:2376297
DOI10.1007/s10801-012-0382-0zbMath1268.05228arXiv1205.6128OpenAlexW2162784259WikidataQ122904413 ScholiaQ122904413MaRDI QIDQ2376297
Michael Zabrocki, Adrian Duane, Adriano M. Garsia
Publication date: 21 June 2013
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.6128
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- Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
- Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
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- A proof of the \(q,t\)-Catalan positivity conjecture
- A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
- Some natural bigraded \(S_ n\)-modules and \(q,t\)-Kostka coefficients
- Hilbert schemes, polygraphs and the Macdonald positivity conjecture
- A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
- Hall–Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics
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