侯庆虎-天津大学数学学院

侯庆虎

职称：
教授

院系：
数学系

电子邮箱：
qh_hou@tju.edu.cn

办公地点：
北洋园校区58教204B

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研究方向

组合数学，特别是组合分析、符号计算、q级数

教育背景

1992.09 - 1996.06 南开大学学士

1996.09 - 2001.06 南开大学(硕博连读) 博士

工作经历

2001.07 - 2004.12 南开大学讲师

2005.01 - 2006.12 南开大学副教授

2007.01 - 2015.06 南开大学教授

2015.07 - 今天津大学教授

2003.10-2004.01 香港科技大学访问学者

2007.10 – 2008.04 奥地利林茨大学访问学者

教学工作

开设课程

本科生课程曾讲授《高等数学》

研究生课程曾讲授《组合恒等式的机器证明》、《组合计数》

学生指导指导硕士生7人（在读1人），博士生7人（在读4人）

科研工作

基金项目身份

2013-2017 国家自然科学基金重点项目“组合数学中的代数方法” 参加人

2013-2015 国家自然科学基金优秀青年项目“组合数学” 主持人

2012-2015 国家自然科学基金面上项目“具有数论背景的组合恒等式” 主持人

2010-2012 教育部新世纪优秀人才支持计划主持人

2008-2011 国家自然科学基金重点项目“组合数学中的构造性方法” 主持人

2005-2007 国家自然科学基金青年项目“q-级数与机器证明” 主持人

2004-2009 科技部973计划“数学机械化方法及其在信息技术中的应用” 参与人

主要荣誉

孙冶方经济学奖 (2005)；天津市优秀博士学位论文(2003)。

学术兼职

其它

发表论文

1.W.Y.C. Chen, Q.-H. Hou, D. Zeilberger, Automated discovery and proof of congruence theorems for partial sums of combinatorial sequences, J. Differ. Equ. Appl., 22 (2016) 780--788.
2.Q.-H. Hou, An insertion algorithm and leaders of rooted trees, European J. Combin. 53 (2016) 35--44.
3.D.K. Du, Q.-H. Hou, R.-H. Wang, Infinite orders and non-D-finite property of 3-dimensional lattice walks, Electron. J. Combin. 23 (2016) P3.38.
4.Q.-H. Hou, H.-T. Jin, Y.-P. Mu, L. Zhang, Congruences on the number of restricted m-ary partitions, J. Number Theory 169 (2016) 79--85.
5.W.Y.C. Chen, Q.-H. Hou, L.H. Sun, L. Zhang, Ramanujan-type congruences for overpartitions modulo 16, Ramanujan J. 40 (2016) 311--322.
6.S. Chen, Q.-H. Hou, G. Labahn, R.-H. Wang, Existence problem of telescopers: beyond the bivariate case, Proceedings of the 2016 ACM on International Symposium on Symbolic and Algebraic Computation., ACM, 2016.
7.Q.-H. Hou, Y.-H. Wang, An algorithm for deciding the summability of bivariate rational functions, Adv. Appl. Math. 64 (2015) 31--49.
8.Q.-H. Hou, L.H. Sun, L. Zhang, Quadratic forms and congruences for l-regular partitions modulo 3, 5 and 7, Adv. Appl. Math. 70 (2015) 32--44.
9.Q.-H. Hou, Z.-W. Sun, H. Wen, On monotonicity of some combinatorial sequences, Publ. Math. Debrecen 85 (2014) 285--295.
10.W.Y.C. Chen, D.K. Du, Q.-H. Hou, L.H. Sun, Congruences of multipartition functions modulo powers of primes, Ramanujan J. 35 (2014) 1--19.
11.D.K. Du, Q.-H. Hou, Partially ordinal sums and P-partitions, Electron. J. Combin. 19 (2012) P19.
12.W.Y.C. Chen, Q.-H. Hou, Y.-P. Mu, The extended Zeilberger algorithm with parameters, J. Symbolic Comput. 47 (2012) 643--654.
13.W.Y.C. Chen, Q.-H. Hou, H.T. Jin, The Abel-Zeilberger algorithm, Electr. J. Combin. 18 (2011) P17.
14.Q.-H. Hou, Y.-P. Mu, Minimal universal denominators for linear difference equations, J. Difference Equ. Appl. 17 (2011) 977--986.
15.W.Y.C. Chen, Q.-H. Hou, L.H. Sun, The method of combinatorial telescoping, J. Combin. Theory Ser. A 118 (2011) 899--907.
16.Q.-H. Hou, T. Mansour, The kernel method and systems of functional equations with several conditions, J. Comput. Appl. Math. 235 (2011) 1205--1212.
17.Q.-H. Hou, Y.-P. Mu, Hypergeometric series solutions of linear operator equations, Appl. Math. Comput. 215 (2010) 3731--3739.
18.W. Gao, Q.-H. Hou, G. Xin, On P-partitions related to ordinal sums of posets, European J. Combin. 30(5) (2009) 1370--1381.
19.W.Y.C. Chen, Q.-H. Hou, Y.-P. Mu, Nonterminating basic hypergeometric series and the q-Zeilberger algorithm, Proc. Edinb. Math. Soc. 51 (2008) 609--633.
20.E. Georgiadis, D. Callan, Q.-H. Hou, Circular digraph walks, k-balanced strings, lattice, Electron. J. Combin. 15(1) (2008), R108.
21.Q.H. Guo, Q.-H. Hou, Lisa H. Sun, Proving hypergeometric identities by numerical verifications, J. Symbolic Comput. 43 (2008) 895--907.
22.Q.-H. Hou and T. Mansour, Kernel method and linear recurrence system, J. Comput. Appl. Math. 216 (2008) 227--242.
23.Q.-H. Hou, T. Mansour, S. Severini, Partial transposes of permutation matrices, Intergers 8(1) (2008) A49.
24.W.D. Gao, Q.-H. Hou, W. Schmid, and R. Thangadurai, On short zero-sum subsequences II, Integers 7 (2007) A21.
25.Q.-H. Hou, T. Mansour, Horse paths, restricted 132-avoiding permutations, continued fractions, and Chebyshev polynomials, Discrete Appl. Math. 154(8) (2006) 1183--1197.
26.W.Y.C. Chen, Q.-H. Hou, Factors of the Gaussian coefficients, Discrete Math. 306 (2006) 1446--1449.
27.W.Y.C. Chen, Q.-H. Hou, Y.-P. Mu, A telescoping method for double summations, J. Comput. Appl. Math. 196 (2006) 553--566.
28.W.Y.C. Chen, Q.-H. Hou, Y.-P. Mu, Applicability of the q-analogue of Zeilberger's algorithm, J. Symbolic Comput. 39 (2005) 155--170.
29.Q.-H. Hou, A. Lascoux, Y.-P. Mu, Evaluation of some Hankel determinants, Adv. Appl. Math. 34 (2005) 845--852.
30.Q.-H. Hou, A. Lascoux, Y.-P. Mu, Continued fractions for Rogers-Szego polynomials, Numer. Algorithms 35 (2004) 81--90.
31.Q.-H. Hou, k-free recurrences of double hypergeometric terms, Adv. Appl. Math. 32 (2004) 468--484.
32.W.Y.C. Chen, Q.-H. Hou, A. Lascoux, An involution for the Gauss identity, J. Combin. Theory Ser. A 102 (2003) 309--320.
33.Q.-H. Hou, Y.-P. Mu, Recurrent sequences and Schur functions, Adv. Appl. Math. 31 (2003) 150--162.
34.Q.-H. Hou, Z.-W. Sun, Restricted sums in a field, ActaArith. 102 (2002) 239--249.

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