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On Eight Colour Partitions

Author

Listed:
  • B. Hemanthkumarm

    (M. S. Ramaiah University of Applied Sciences)

  • D. Ranganatha

    (Central University of Karnataka)

  • H. S. Sumanth Bharadwaj

    (M. S. Ramaiah University of Applied Sciences)

Abstract

In 2013, Baruah and Sarmah, and Xia and Yao independently obtained generating function for the sequences p−8(2n + 1) and p−8(4n + 3), where p−8(n) counts the number of partitions of n in eight colours. In this article, we generalize the identities and as a consequence, establish several Ramanujan type congruences modulo higher powers of 2.

Suggested Citation

  • B. Hemanthkumarm & D. Ranganatha & H. S. Sumanth Bharadwaj, 2020. "On Eight Colour Partitions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1843-1856, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0500-y
    DOI: 10.1007/s13226-020-0500-y
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    References listed on IDEAS

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    1. Nayandeep Deka Baruah & Bipul Kumar Sarmah, 2013. "Identities and congruences for the general partition and Ramanujan’s tau functions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(5), pages 643-671, October.
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      Keywords

      Colour partitions; congruences;

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