W.Y.C. Chen, K.Q. Ji, H.-T. Jin and E.Y.Y. Shen,
On the number of partitions with designated summands,
J. Number Theory 133 (2013) 2929-2938.

Cited by


  1. P. Adansie, S. Chern and Ernest X.W. Xia, New infinite families of congruences for the number of tagged parts over partitions with designated summands, Int. J. Number Theory 14(7) (2018) 1935-1942.

  2. N.D. Baruah and M. Kaur, New congruences modulo 2, 4, and 8 for the number of tagged parts over the partitions with designated summands, arXiv:1807.01074.

  3. N.D. Baruah and K.K. Ojah, Partitions with designated summands in which all parts are odd, Integers 15 (2015) Paper No. A9, 16 pp.

  4. R.X.J. Hao and E.Y.Y. Shen, Congruences modulo 9 for bipartitions with designated summands, Turkish J. Math. 42 (2018) 2325-2335.

  5. B. Hemanthkumar, H.S. Sumanth Bharadwaj and M.S. Mahadeva Naika, Congruences modulo small powers of 2 and 3 for partitions into odd designated summands, J. Integer Seq. 20(4) (2017) Art. 17.4.3, 25 pp.

  6. B.L.S. Lin, The restricted 3-colored partition function mod 3, Int. J. Number Theory 9 (2013) 1789-1799.

  7. B.L.S. Lin, The number of tagged parts over the partitions with designated summands, J. Number Theory 184 (2018) 216-234.

  8. M.S. Mahadeva Naika and D.S. Gireesh, Congruences for 3-regular partitions with designated summands, Integers 16 (2016) Paper No. A25, 14 pp.

  9. M.S. Mahadeva Naika and S. Shivaprasada Nayaka, Congruences for (2,3)-regular partition with designated summands, Note Mat. 36(2) (2016) 99-123.

  10. M.S. Mahadeva Naika and C. Shivashankar, Arithmetic properties of bipartitions with designated summands, Bol. Soc. Mat. Mex. (3) 24(1) (2018) 37-60.

  11. E.X.W. Xia, Arithmetic properties of partitions with designated summands, J. Number Theory 159 (2016) 160-175.