W.Y.C. Chen and E.X.W. Xia,
Proof of a conjecture of Hirschhorn and Sellers on overpartitions,
Acta Arith. 163(1) (2014) 59-69.

Cited by


  1. A.H. Al-Saedi, Congruences for restricted plane overpartitions modulo 4 and 8, Ramanujan J. 48(2) (2019) 251–277.

  2. A.H. Al-Saedi, Periodicity and partition congruences, Ph.D. Thesis, Oregon State University, 2017.

  3. T. Amdeberhan, Theorems, problems and conjectures, arXiv:1207.4045.

  4. M. Bian, D. Tang, E.X.W. Xia and F. Xue, Proofs of some conjectures on the reciprocals of the Ramanujan-Gordon identities, Ramanujan J. 55(2) (2021) 497–515.

  5. W.Y.C. Chen, L.H. Sun, R.-H. Wang and L. Zhang, Ramanujan-type congruences for overpartitions modulo 5, J. Number Theory, 148 (2015) 62-72.

  6. W.Y.C. Chen, Q.-H. Hou, L.H. Sun and L. Zhang, Ramanujan-type congruences for overpartitions modulo 16, Ramanujan J. 40 (2016) 311-322.

  7. S. Chern and M.G. Dastida, Some congruences modulo 5 and 25 for overpartitions, Ramanujan J. 47 (2018) 435-445.

  8. S.-P. Cui and N.S.S. Gu, Sums of squares and partition congruences, J. Aust. Math. Soc. 111(2) (2021) 249–267.

  9. D.Q.J. Dou and B.L.S Lin, New Ramanujan type congruences modulo 5 for overpartitions, Ramanujan J. 44(2) (2017) 401-410.

  10. J.Q.D. Du, E.Y.S. Liu and J.C.D. Zhao, Congruences for the coefficients of the powers of the Euler product, Ramanujan J. 52(2) (2020) 393–420.

  11. C. Gu, Michael D. Hirschhorn, J.A. Sellers and E.X.W. Xia, Infinite families of congruences modulo 5 and 9 for overpartitions, Bull. Pol. Acad. Sci. Math. 66(1) (2018) 31-44.

  12. M.D. Hirschhorn, The Power of q: Developments in Mathematics, Springer, 2017.

  13. W.J. Keith, Restricted k-color partitions, Ramanujan J. 40 (2016) 71-92.

  14. B.L.S. Lin, Arithmetic properties of overcubic partition pairs, Electron. J. Combin. 21(3) (2014) Paper 3.35, 12 pp.

  15. B.L.S Lin, A new proof of a conjecture of Hirschhorn and Sellers on overpartitions, Ramanujan J. 38 (2015) 199-209.

  16. B.L.S. Lin, Overpartitions related to the mock theta function V0(q), Bull. Aust. Math. Soc. 102(3) (2020) 410–417.

  17. B.L.S. Lin, J. Liu, A.Y.Z. Wang and J. Xiao, Infinite families of congruences for overpartitions with restricted odd differences, Bull. Aust. Math. Soc. 102(1) (2020) 59–66.

  18. E.Y.Y. Shen, Congruences modulo 9 for singular overpartitions, Int. J. Number Theory 13(3) (2017) 717-724.

  19. L.Q. Wang, Another proof of a conjecture by Hirschhorn and Sellers on overpartitions, J. Integer Seq. 17 (2014) Article 14.9.8, 8 pp.

  20. L.Q. Wang, Arithmetic properties of overpartition triples, Acta Math. Sin. (Engl. Ser.) 33(1) (2017) 37-50.

  21. E.X.W. Xia, New infinite families of Ramanujan-type congruences modulo 9 for overpartition pairs, Colloq. Math. 140(1) (2015) 91-105.

  22. E.X.W. Xia, Some new infinite families of congruences modulo 3 for overpartitions into odd parts, Colloq. Math. 142(2) (2016) 255-266.

  23. E.X.W. Xia, Congruences modulo 9 and 27 for overpartitions, Ramanujan J. 42(2) (2017) 301-323.

  24. X. Xiong, Overpartition function modulo 16 and some binary quadratic forms, Int. J. Number Theory, 12 (2016) 1195-1208.

  25. X. Yang, S.-P. Cui and B.L.S. Lin, Overpartition function modulo powers of 2, Ramanujan J. 44(1) (2017) 89-104.

  26. O.X.M. Yao, Congruences modulo 64 and 1024 for overpartitions, Ramanujan J. 46(1) (2018) 1-18.

  27. W. Zhang and J. Shi, Some infinite families of congruences for overpartition, Int. J. Number Theory, 2019.

  28. T.Y. Zhao and L.J. Jin, New congruences modulo 5 for overpartitions, Colloq. Math. 145(2) (2016) 285-290.