DSpace Collection: Published Articles by Faculties Published Articles by Faculties http://117.239.156.194:8080/jspui/handle/123456789/58 2025-12-24T20:32:01Z 2025-12-24T20:32:01Z FU’S p α DOTS BRACELET PARTITION N V, MAJID http://117.239.156.194:8080/jspui/handle/123456789/81 2024-03-26T05:41:59Z 2024-03-01T00:00:00Z Title: FU’S p α DOTS BRACELET PARTITION Authors: N V, MAJID Abstract: This paper aims to explore the arithmetic properties of Fu’s k dots bracelet partition where k = p^α, p is a prime number with p ≥ 5 and α is an integer with α ≥ 0. For p^α dots bracelet partitions with p = 5, 7 and 11, we found several exciting Ramanujan-like congruences modulo p. We also used Newman’s theorems to demonstrate certain congruence modulo p. 2024-03-01T00:00:00Z