A weighted sum over generalized Tesler matrices

Author:

Wilson Andrew Timothy

Funder

National Science Foundation

U.S. Department of Defense

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference21 articles.

1. Armstrong, D., Garsia, A., Rhoades, B., Haglund, J., Sagan, B.: Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics. J. Comb. 3, 451–494 (2012)

2. Bergeron, F., Garsia, A.M., Haiman, M., Tesler, G.: Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions. Methods Appl. Anal. 6(3), 363–420 (1999)

3. Garsia, A.M., Haiman, M.: A graded representation model for the Macdonald polynomials. Proc. Natl. Acad. Sci. 90, 3607–3610 (1993)

4. Garsia, A., Haglund, J.: A proof of the $$q, t$$-Catalan positivity conjecture. Adv. Math. 175, 319–334 (2003)

5. Garsia, A., Haglund, J.: A polynomial expression for the character of diagonal harmonics. To appear in Ann. Comb. (2014)

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