Address Center for Combinatorics Nankai University Tianjin 300071 P.R. China Email: hou@nankai.edu.cn Tel: (022)2350-3614

Automated Proofs of Combinatorial Identities

Symmetric Functions

Enumerative Combinatorics

q-Series

1. Q.H. Hou and Y.P. Mu, Minimal universal denominators for linear difference equations, J. Difference Equ. Appl., to appear.

2. W. Gao, Q.H. Hou, and G. Xin, On P-partitions related to ordinal sums of posets, European J. Combin, 30(5) (2009) 1370£­1381.

3. Q.H. Hou, T. Mansour, and S. Severini, Partial transposes of permutation matrices, Intergers, 8(1) (2008) A49.

4. Q.H. Guo, Q.H. Hou, and H. Sun, Proving hypergeometric identities by numerical verifications£¬J. Symbolic Comput., 43 (2008) 895£­907.

5. W.Y.C. Chen, Q.H. Hou and Y.P. Mu, Nonterminating basic hypergeometric series and the q-Zeilberger algorithm, Proc. Edinb. Math. Soc., 51 (2008) 609£­633.

6. E. Georgiadis, D. Callan, and Q.H. Hou, Circular digraph walks, k-balanced strings, lattice, Electron. J. Combin. 15(1) (2008), R108.

7. Q.H. Hou and T. Mansour, Kernel method and linear recurrence system, J. Comput. Appl. Math. 216 (2008) 227£­242.

8. W.D. Gao, Q.H. Hou, W. Schmid, and R. Thangadurai On short zero-sum subsequences II, Integers 7 (2007) #A21.
   Programs on computing s(C₅³)

9. W.Y.C. Chen and Q.H. Hou, Factors of the Gaussian coefficients, Discrete Math. 306(2006) 1446£­1449.

10. Q.H. Hou and T. Mansour, Horse paths, restricted 132-avoiding permutations, continued fractions, and Chebyshev polynomials, Discrete Appl. Math. 154(8) (2006) 1183£­1197.

11. W.Y.C. Chen, Q.H. Hou and Y.P. Mu, A telescoping method for double summations£¬J. Comput. Appl. Math. 196 (2006) 553£­566.

12. W.Y.C. Chen, Q.H. Hou and Y.P. Mu, Applicability of the q-analogue of Zeilberger's algorithm£¬J. Symbolic Comput. 39 (2005) 155£­170.

13. Q.H. Hou, A. Lascoux, and Y.P. Mu, Evaluation of some Hankel determinants, Adv. in Appl. Math. 34 (2005) 845£­852.

14. Q.H. Hou, A. Lascoux and Y.P. Mu, Continued fractions for Rogers-Szeg? polynomials, Numer. Algorithms, 35 (2004) 81£­90.

15. Q.H. Hou, k-free recurrences of double hypergeometric terms, Adv. in Appl. Math., 32 (2004) 468£­484.

16. Q.H. Hou and Y.P. Mu, Recurrent sequences and Schur functions, Adv. in Appl. Math., 31 (2003) 150£­162.

17. W.Y.C. Chen, Q.H. Hou and A. Lascoux, An involution for the Gauss identity, J. Combin. Theory Ser. A, 102 (2003) 309£­320.

18. Q.H. Hou and Z.W. Sun, Restricted sums in a field, Acta Arith., 102 (2002) 239£­249.

1. Q.H. Hou and Y.P. Mu, Hypergeometric series solutions of linear operator equations.
   Related Maple package

2. William Y.C. Chen, Q.H. Hou and Y.P. Mu, The extended Zeilberger's algorithm with parameters.

3. William Y.C. Chen, Q.H. Hou, and H.T. Jin, The Abel-Zeilberger algorithm.