Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8905042 | Advances in Mathematics | 2018 | 44 Pages |
Abstract
In 1980, D. M. Bressoud obtained an analytic generalization of the Rogers-Ramanujan-Gordon identities. He then tried to establish a combinatorial interpretation of his identity, which specializes to many well-known Rogers-Ramanujan type identities. He proved that a certain partition identity follows from his identity in a very restrictive case and conjectured that the partition identity holds true in general. In this paper, we prove Bressoud's conjecture for the general case by providing bijective proofs.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Sun Kim,