http://117.239.156.194:8080/jspui/handle/123456789/12 Postgraduate and Research Department of Mathematics 2026-01-01T04:24:02Z http://117.239.156.194:8080/jspui/handle/123456789/81 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