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 and A.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 Theory 18 (04) (2022) 743-755. 3. E.X.W. Xia and A.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 and A.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 and A.X.H. Zhao, Ranks of overpartitions modulo 6 and 10. J. Number Theory 184 (2018) 235-269. 6. K.Q. Ji and A.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 and A.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 and A.X.H. Zhao, The Bailey transform and Hecke-Rogers identities for the universal mock theta functions. Adv. in Appl. Math. 65 (2015) 65-86. |