Zobrazeno 1 - 10
of 312
pro vyhledávání: '"Haglund J"'
In a seminal paper Richard Stanley derived Pieri rules for the Jack symmetric function basis. These rules were extended by Macdonald to his now famous symmetric function basis. The original form of these rules had a forbidding complexity that made th
Externí odkaz:
http://arxiv.org/abs/1407.7916
Autor:
Haglund, J.
Riemann conjectured that all the zeros of the Riemann $\Xi$-function are real, which is now known as the Riemann Hypothesis (RH). In this article we introduce the study of the zeros of the truncated sums $\Xi_N(z)$ in Riemann's uniformly convergent i
Externí odkaz:
http://arxiv.org/abs/0910.5228
Publikováno v:
Journal of Combinatorial Theory Series A 118 (2011) 463-490
We introduce a new basis for quasisymmetric functions, which arise from a specialization of nonsymmetric Macdonald polynomials to standard bases, also known as Demazure atoms. Our new basis is called the basis of quasisymmetric Schur functions, since
Externí odkaz:
http://arxiv.org/abs/0810.2489
We give a combinatorial formula for the non-symmetric Macdonald polynomials E_{\mu}(x;q,t). The formula generalizes our previous combinatorial interpretation of the integral form symmetric Macdonald polynomials J_{\mu}(x;q,t). We prove the new formul
Externí odkaz:
http://arxiv.org/abs/math/0601693
We prove a combinatorial formula for the Macdonald polynomial H_mu(x;q,t) which had been conjectured by the first author. Corollaries to our main theorem include the expansion of H_mu(x;q,t) in terms of LLT polynomials, a new proof of the charge form
Externí odkaz:
http://arxiv.org/abs/math/0409538
Let R_n be the ring of coinvariants for the diagonal action of the symmetric group S_n. It is known that the character of R_n as a doubly-graded S_n module can be expressed using the Frobenius characteristic map as \nabla e_n, where e_n is the n-th e
Externí odkaz:
http://arxiv.org/abs/math/0310424
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2005 Feb . 102(8), 2690-2696.
Externí odkaz:
https://www.jstor.org/stable/3374683
Autor:
Haglund, J., Kadison, Richard V.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2004 Nov . 101(46), 16127-16131.
Externí odkaz:
https://www.jstor.org/stable/3373783
Autor:
Garsia, A. M., Haglund, J.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2001 Apr 01. 98(8), 4313-4316.
Externí odkaz:
https://www.jstor.org/stable/3055426
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.