On Eight Colour Partitions

B. Hemanthkumarm (), D. Ranganatha () and H. S. Sumanth Bharadwaj ()
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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

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1843-1856

Abstract: 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.

Keywords: Colour partitions; congruences; 11P83; 05A17 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-020-0500-y

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