标题： 超分拆与布罗索德猜想，II 显示英文标题

标题： Overpartitions and Bressoud's conjecture, II

摘要： 本文的主要目标是证明Bressoud针对$j=0$的猜想。 $j=1$的情况最近由Kim证明了。 我们首先通过双射方法获得Bressoud针对$j=1$猜想的超分拆模拟。 然后，我们表明Bressoud针对$j=0$的猜想可以通过借助Bressoud猜想中的分拆函数$B_0$与我们在之前论文中建立的分拆函数$\bar{B}_1$之间的关系来推导出Bressoud针对$j=1$猜想的超分拆模拟。 显示英文摘要

摘要： The main objective of this paper is to prove Bressoud's conjecture for $j=0$. The case for $j=1$ has been recently proved by Kim. We first obtain an overpartition analogue of Bressoud's conjecture for $j=1$ by using a bijective method. We then show that Bressoud's conjecture for $j=0$ can be derived from the overpartition analogue of Bressoud's conjecture for $j=1$ with the aid of the relation between the partition function $B_0$ in Bressoud's conjecture and the partition function $\bar{B}_1$ established in our previous paper.