Elementary proofs of parity results for broken 3-diamond partitions
Elementary proofs of parity results for broken 3-diamond partitions
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DOI：
10.1016/j.jnt.2013.08.013
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发表时间：
2014-02
影响因子：
0.7
通讯作者：
Bernard L. S. Lin
中科院分区：
文献类型：
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作者：
Bernard L. S. Lin
最近，Radu和Sellers研究了计数破3-菱形划分数的函数Δ 3（n）的奇偶性。他们发现了所讨论的生成函数和某些eta乘积之间的有趣关系。在本文中，我们的目的是提出这些同余关系的初等证明。
Abstract Recently, Radu and Sellers studied the parity of the function Δ 3 (n) which counts the number of broken 3-diamond partitions. They found interesting relationships between the generating functions in question and certain eta products. In this note, we aim to present elementary proofs of these congruence relationships.