| Autor: |
He, Thomas Y., Ji, Kathy Q., Zhao, Alice X. H. |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
European Journal of Combinatorics (2024) |
| Druh dokumentu: |
Working Paper |
| Popis: |
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 $j=0$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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