标题： 过分划与布雷索德猜想，II 显示英文标题

标题： Overpartitions and Bressoud's conjecture, II

摘要： 本文的主要目的是为情况$j=0$提供对Bressoud猜想的答案，从而完全解决该猜想。 情况$j=1$最近由Kim解决了。 利用我们在之前论文中建立的普通分拆函数$B_0$与过分拆函数$\overline{B}_1$之间的联系，我们发现Bressoud猜想在情况$j=0$的证明等价于为$j=1$建立该猜想的过分拆类比。 通过推广Kim的方法，我们得到了$j=1$的所需超分拆模拟，这最终使我们能够确认$j=0$的情况下的Bressoud猜想。 显示英文摘要

摘要： The main objective of this paper is to present an answer to Bressoud's conjecture for the case $j=0$, resulting in a complete solution to the conjecture. The case for $j=1$ has been recently resolved by Kim. Using the connection established in our previous paper between the ordinary partition function $B_0$ and the overpartition function $\overline{B}_1$, we found that the proof of Bressoud's conjecture for the case $j=0$ is equivalent to establishing an overpartition analogue of the conjecture for $j=1$. By generalizing Kim's method, we obtain the desired overpartition analogue of Bressoud's conjecture for $j=1$, which eventually enables us to confirm Bressoud's conjecture for the case $j=0$.