Publications of Guoce Xin
  1. with Wei Gao and Qing-hu Hou, On P-partitions related to ordinal sums of posets, European J. Combin. Theory, to appear.
  2. with Adriano Garsia, Nolan Wallach and Mike Zabrocki, Hilbert series of Invariants, constant terms and Kostka-Foulkes polynomials, Discrete Math., to appear.
  3. with Terence Y. J. Zhang, Enumeration of bilaterally symmetric 3-noncrossing partitions, Discrete Math., to appear, arXiv:0810.1344.
  4. with Adriano Garsia, Gregg Musiker, Nolan Wallach, Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems, Adv. in Appl. Math., to appear, arXiv:0810.0060.
  5. with Guoniu Han, Permutations with extremal number of fixed points, J. Combin. Theory A., to appear, arXiv:0706.1738.
  6. with Lun Lv, and Yue Zhou, A family of q-Dyson style constant term identities, J. Combin. Theory A., to appear, arXiv:0706.1009.
  7. Proof of the Somos-4 Hankel determinants conjecture, Adv. in Appl. Math., to appear, arXiv:0712.0933.
  8. with Ira M. Gessel, Lun Lv, and Yue Zhou, A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities, J. Combin. Theory A., to appear, arXiv: math.CO/0701066.
  9. Constructing all magic squares of order three, Discrete Math., to appear, arXiv: math.CO/0409468.
  10. Determinant formulas relating to tableaux of bounded height, Adv. in Appl. Math., to appear, arXiv:0704.3381.
  11. with Lun Lv, and Yue Zhou, Two coefficients of the Dyson product, Electron. J. Combin., 15 (2008), R36.
  12. with Robert Sulanke, Hankel determinants for some common lattice paths, Adv. in Appl. Math., 40 (2008) 149-167. Extended abstract appeared at FPSAC06. (19 pages)
  13. Generalization of Stanley's monster reciprocity theorem, J. Combin. Theory A, 114 (2007) 1526-1544. arXiv: math.CO/0504425.
  14. with Jorgen Backelin and Julian West, Wilf-equivalence for singleton classes, Adv. in Appl. Math., 38 (2007), 133-148.
  15. with Brian Drake and Ira M. Gessel, Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry, JIS, Article 07.3.7. (11 pages)
  16. with Ira Gessel, The generating functions of ternary trees and continued fractions, Electron. J. Combin., 13 (2006), R53. (electronic). (48 pages)
  17. with Ira Gessel, A short proof of the Zeilberger-Bressoud q-Dyson theorem, Proc. Amer. Math. Soc., 134 (2006) 2179-2187.
  18. With Mireille Bousquet-Mижlou, On partitions avoiding 3-crossings, Sижm. Lothar. Combin. 54 (2005), Art. B54e. (21 pages)
  19. A residue theorem for Malcev-Neumann series, Adv. in Appl. Math., 35 (2005), 271--293 (21 pages)
  20. with Ira Gessel, A combinatorial interpretation of the numbers 6(2n)!/n!(n+2)!, JIS, Article 05.2.3, 2005. (11 pages)
  21. A fast algorithm for MacMahon's partition analysis, Electron. J. Combin., 11 (2004), R58. (electronic). arXiv: math.CO/0408377. (20 pages). associated Maple package: ELL.mpl
  22. Proof of a conjecture on the slit plane problem, Discrete Math., 282 (2004) 281-287. (7 pages)