Address Center for Combinatorics Nankai University Tianjin 300071 P.R. China Email: hou@nankai.edu.cn Tel: (022)2350-5133 ext. 8015

Automated Proofs of Combinatorial Identities

Symmetric Functions

Enumerative Combinatorics

q-Series

Enumerative Combinatorics

Automated Proofs

1. William Y.C. Chen and Q.H. Hou, Factors of the gaussian coefficients, Discrete Math., to appear.

2. William Y.C. Chen, Q.H. Hou and Y.P. Mu, A telescoping method for double summations, J. Comput. Appl. Math., to appear.

3. 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.

4. William 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.

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

6. Q.H. Hou, A. Lascoux and Y.P. Mu, Continued fractions for Rogers-Szeg\"o polynomials, Numer. Algorithms 3(5) (2004) 81--90.

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

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

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

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

1. William Y.C. Chen, Q.H. Hou and Y.P. Mu, Nonterminating basic hypergeometric series and the $q$-Zeilberger algorithm.

2. William Y.C. Chen, Q.H. Hou and Y.P. Mu, Minimal universal denominators for linear difference equations.

3. G. Firro, Q.H. Hou and T. Mansour, Kernel method and linear recurrence system.

4. W. D. Gao, Q. H. Hou, W. Schmid and R. Thangadurai, On short zero-sum subsequences II.
   Programs on computing s(C₅³)