项目: 1.国家自然科学基金青年项目(项目号:11901430),贝利变换及其在整数分拆上的应用,2020.1-2022.12,主持。 2.国家自然科学基金面上项目(项目号:12271403),拟阵中的若干单峰型问题,2023.1-2026.12,参与。 论文: 1. T.Y. He, K.Q. Ji andA.X.H. Zhao, Overpartitions and Bressoud's conjecture, I.Adv. Math.404 (2022) 108449. 2.A.X.H. Zhao, Generalizations of Dyson’s rank on overpartitions.Int. J. Number Theory18 (04) (2022) 743-755. 3. E.X.W. Xia andA.X.H. Zhao, Generalizations of Hirschhorn’s results on two remarkable q-series expansions.Exp. Math.(2020) 1-5. 4. T.Y. He, K.Q. Ji, A.Y.F. Wang andA.X.H. Zhao, The Andrews-Göllnitz-Gordon theorem for overpartitions.J. Combin. Theory Ser. A, 166 (2019) 254-296. 5. K.Q. Ji, H.W.J. Zhang andA.X.H. Zhao, Ranks of overpartitions modulo 6 and 10.J. Number Theory184 (2018) 235-269. 6. K.Q. Ji andA.X.H. Zhao, The crank moments weighted by the parity of cranks.Ramanujan J.44(3) (2017) 631-640. 7. T.Y. He, A.Y.F. Wang andA.X.H. Zhao, The Bressoud-Göllnitz-Gordon theorem for overpartitions of even moduli.Taiwanese J. Math.21(6) (2017) 1233-1263. 8. K.Q. Ji andA.X.H. Zhao, The Bailey transform and Hecke-Rogers identities for the universal mock theta functions.Adv. in Appl. Math.65 (2015) 65-86. |