2025, Vol. 6, Issue 2, Part D
Some Congruences of 3-Core Cubic Partition
Author(s): Pradip Bahadur Chetri
Abstract: C_3 (n) denotes the Cubic partition which are also 3-cores. Sellers and Silva (2023) proved several arithmetic properties of C_3 (n). The goal of this paper is to establish some results already proven in [7] using elementary q-series identity and establish some new infinite families of congruences for C_3 (n). For example, C_3 ( 4.3^(β+1).n+2.3^(β+1)-1)=3^(β+1).C_3 (4n+1) C_3 (8.p^(2δ+2).n+(8ω+5p).p^(2δ+1)-1 )≡0 (mod 4)
DOI: https://doi.org/10.22271/math.2025.v6.i2d.264
Pages: 687-693 | Views: 224 | Downloads: 86
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How to cite this article:
Pradip Bahadur Chetri. Some Congruences of 3-Core Cubic Partition. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(2): 687-693. DOI: 10.22271/math.2025.v6.i2d.264
