 | (1) Yan Fan; Ernest X.W.Xia; Xiang Zhao ; New equalities and inequalities for the ranks and cranks of partitions, Advances in Applied Mathematics, 2023, 146(102486).
(2) Yan Fan; Eric H. Liu; Ernest X. W. Xia ; Some inequalities on cranks of cubic partitions modulo 4 and 6, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 2023, 117(31).
(3) Yan Fan; Liu quan Wang; Ernest X. W. Xia; Proof of a conjectural congruence of Chan for Appell-Lerch sums, International Journal of Number Theory, 2021, 17(04): 1003-1011.
(4) Yan Fan; Eric H. Liu; Ernest X. W. Xia ; Inequalities for the M_2-rank modulo 12 of partitions without repeated odd parts, The Ramanujan Journal, 2024, 63: 105-130.
(5) Yan Fan; Ernest X.W.Xia; Some inequalities on ranks of cubic partitions, Rocky Mountain Journal of Mathematics, 2024,54:1315-1329.
(6) Ernest X. W. Xia; Yan Fan; Olivia X. M. Yao; On the total number of ones of partitions associated to cranks, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2023) 117:167.
(7) Na Chen; Shane Chern; Yan Fan; Ernest X. W. Xia; Some generating functions and inequalities for the andrews–stanley partition functions, Proceedings of the Edinburgh Mathematical Society, 2022, 65: 120-135.
(8) Mei Olivia Yaoxiang; Qing Fang hou; Yan Fan; Yan Zhang; Some new relations between sums of squares and triangular numbers，Bulletin Mathematique De La Societe Des Sciences Mathematiques De Roumanie, (2021)64(4):305-315. |
