Doris D. M. Sang

collaborators

3 papers

math.CO2012

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

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

For $k \geq i \geq 1$ , 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 $k - 1$ …

math.CO2010

Anti-lecture Hall Compositions and Overpartitions

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

We show that the number of anti-lecture hall compositions of n with the first entry not exceeding k-2 equals the number of overpartitions of n with non-overlined parts not congruen…

math.CO2010

Involutions for Rogers-Ramanujan-Gordon Type Identities with Parity Restrictions

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

We find involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on the generating functions for partitions with part difference and parity restrictions.