An Overpartition Analogue of Bressoud's Theorem of Rogers-Ramanujan Type

William Y. C. Chen, Doris D. M. Sang, Diane Y. H. Shi

For $k\ge i\ge 1$, let $B_{k,i}(n)$ denote the number of partitions of $n$ such that part 1 appears at most $i-1$ times, two consecutive integers l and $l+1$ appear at most $k-1$…