Lora R. Du and Kathy Q. Ji, A refinement of a theorem of Diaconis-Evans-Graham, submitted. arXiv:2404.00607. [pdf]
William Y.C. Chen, Kathy Q. Ji and Erin Y.Y. Shen, k-marked Dyson symbols and congruences for moments of cranks, submitted. arXiv:1312.2080. [pdf]
Publications
Kathy Q. Ji, The (α,β)-Eulerian polynomials and descent-Stirling statistics on permutations, Sci China Math, (2025), doi: 10.1007/s11425-024-2362-3.
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Janet J.W. Dong and Kathy Q. Ji, Convexity and log-concavity of the partition function weighted by the parity of the crank and applications, Int. J. Number Theory, (2025), doi: 10.1142/S1793042125500629.
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Janet J.W. Dong and Kathy Q. Ji, Unimodality of k-regular partitions into distinct parts with bounded largest part, Rocky Mountain J. Math., to appear. [pdf]
Janet J.W. Dong, Lora R. Du, Kathy Q. Ji and Dax T.X. Zhang, New refinements of Narayana polynomials and Motzkin polynomials, Adv. in Appl. Math. 166 (2025) Article 102855. [pdf]
Kathy Q. Ji and Dax T.X. Zhang, Signed Mahonian polynomials on derangements in classical Weyl groups, Europ. J. Combin. 124 (2025) 104083. [pdf]
Kathy Q. Ji and Zhicong Lin, The binomial-Stirling-Eulerian polynomials, Europ. J. Combin. 120 (2024) 103962. [pdf]
Janet J.W. Dong and Kathy Q. Ji, Higher order Turán inequalities for the distinct partition function, J. Number Theory 260 (2024) 71-102. [pdf]
Thomas Y. He, Kathy Q. Ji and Alice X.H. Zhao, Overpartitions and Bressoud's conjecture, II, Europ. J. Combin. 118 (2024) 103937. [pdf]
Lora R. Du and Kathy Q. Ji, 0-1 Tableaux and the p,q-Legendre-Stirling numbers of the second kind, Discrete Math. 347 (2024) 113943. [pdf]
Kathy Q. Ji and Dax T.X. Zhang, Some refinements of Stanley's shuffle theorem, J. Combin. Theory Ser. A 203 (2024) 105830. [pdf]
Janet J.W. Dong, Kathy Q. Ji and Dennis X.Q. Jia, Turán inequalities for the broken k-diamond partition function, Ramanujan J. 62 (2023) 593-615. [pdf]
Janet J.W. Dong and Kathy Q. Ji, Unimodality of partition polynomials related to Borwein's conjecture, Ramanujan J. 61 (2023) 1063-1076. [pdf]
Kathy Q. Ji and Dax T.X. Zhang, A cyclic analogue of Stanley's shuffling theorem, Electron. J. Combin., 29 (2022) P4.20. [pdf]
Thomas Y. He, Kathy Q. Ji and Alice X.H. Zhao, Overpartitions and Bressoud's conjecture, I, Adv. Math. 404 (2022), Paper No. 108449, 81 pp. [pdf]
Kathy Q. Ji, The q-log-concavity and unimodality of q-Kaplansky numbers, Discrete Math. 345 (2022) 112821. [pdf]
Kathy Q. Ji, A combinatorial proof of a Schmidt type theorem of Andrews and Paule, Electron. J. Combin. 29 (2022) P1.24. [pdf]
Kathy Q. Ji and Wenston J.T. Zang, Unimodality of the Andrews-Garvan-Dyson cranks of partitions, Adv. Math. 393 (2021) 108053. [pdf]
Thomas Y. He, Kathy Q. Ji, Allison Y.F. Wang and Alice X.H. Zhao, An overpartition analogue of the Andrews-Göllnitz-Gordon theorem, J. Combin. Theory Ser. A 166 (2019) 254--296. [pdf]
William Y.C. Chen, Kathy Q. Ji and Wenston J.T. Zang, Nearly equal distributions of the rank and the crank of partitions, In: G.E. Andrews and F. Garvan (eds.), Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Springer Proceedings in Mathematics & Statistics 221. [pdf]
Kathy Q. Ji, Helen W. J. Zhang and Alice X.H. Zhao, Ranks of overpartitions modulo 6 and 10, J. Number Theory 184 (2018) 235--269. [pdf]
Kathy Q. Ji and Alice X.H. Zhao, The crank moments weighted by the parity of cranks, Ramanujan J. 44 (2017) 631--640. [pdf]
Kathy Q. Ji, Byungchan Kim and Jang Soo Kim, Combinatorial proof of a partial theta function identity of Warnaar, Int. J. Number Theory 12 (2016) 1475--1482. [pdf]
William Y.C. Chen, Kathy Q. Ji, and Wenston J.T. Zang, The spt-crank for ordinary partitions, J. Reine Angew. Math. 711 (2016), 231--249. [pdf]
Thomas Y. He, Kathy Q. Ji, and Wenston J.T. Zang, Bilateral truncated Jacobi's identity, Europ. J. Combin. 51 (2016) 255--267. [pdf]
Kathy Q. Ji and Alice X.H. Zhao, The Bailey transform and Hecke-Rogers identities for the universal mock theta functions, Adv. Appl. Math. 65 (2015) 65--86. [pdf]
William Y.C. Chen, Kathy Q. Ji, and Wenston J.T. Zang, Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank, Adv. Math. 270 (2015) 60--96. [pdf]
William Y.C. Chen, Kathy Q. Ji and Erin Y.Y. Shen, On the positive moments of ranks of partitions, Electron. J. Combin. 21(1) (2014) P1.29. [pdf]
William Y.C. Chen, Kathy Q. Ji, Hai-Tao Jin, and Erin Y.Y. Shen, On the number of partitions with designated summands, J. Number Theory 133 (2013) 2929--2938. [pdf]
William Y. C. Chen, Kathy Q. Ji, and Eric H. Liu, Partition identities for Ramanujan's third order mock theta functions, Quart. J. Math. 63 (2012) 353--365. [pdf]
Kathy Q. Ji, The combinatorics of k-marked Durfee symbols, Trans. Amer. Math. Soc. 363 (2011) 987--1005. [pdf]
Guo-Niu Han and Kathy Q. Ji, Combining hook length formulas and BG-ranks for partitions via the Littlewood decomposition, Trans. Amer. Math. Soc. 363 (2011) 1041--1060. [pdf]
William Y. C. Chen, Henry Y. Gao, Kathy Q. Ji, and Martin Y. X. Li, A unification of two refinements of Euler's partition theorem, Ramanujan J. 23 (2010) 137--149. [pdf]
William Y. C. Chen, Kathy Q. Ji, and Albert J. W. Zhu, On Stanley's partition function, Electr. J. Combin. 17 (2010) #N31. [pdf]
Kathy Q. Ji, A combinatorial proof of Andrews' smallest parts partition function, Electron. J. Combin., 15 (2008) N12. [pdf]
Kathy Q. Ji and H.S. Wilf, Extreme palindromes, Amer. Math. Monthly 115 (5) (2008) 447--451. [pdf]
William Y. C. Chen and Kathy Q. Ji, Weighted forms of Euler's theorem, J. Combin. Theory A 114 (2007) 360--372. [pdf]
William Y. C. Chen, Kathy Q. Ji, and H.S. Wilf, BG-ranks and 2-cores, Electron. J. Combin., 13 (1) (2006) N18. [pdf]