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A positivity result in the theory of Macdonald polynomials

We outline here a proof that a certain rational function C(n)(q, t), which has come to be known as the “q, t-Catalan,” is in fact a polynomial with positive integer coefficients. This has been an open problem since 1994. Because C(n)(q, t) evaluates to the Catalan number at t = q = 1, it has also be...

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Главные авторы: Garsia, A. M., Haglund, J.
Формат: Artigo
Язык:Inglês
Опубликовано: National Academy of Sciences 2001
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Online-ссылка:https://ncbi.nlm.nih.gov/pmc/articles/PMC31831/
https://ncbi.nlm.nih.gov/pubmed/11274351
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.071043398
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