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

2010/04/24 by William Y. C. Chen, Chen, William Y. C., Doris D. M. Sang +3
Mathematics · #05A17 #11P84 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05A17 #msc:11P84

paper · pdf · doi:10.48550/arxiv.1004.4273

12 pages

arxiv created 2010/04/24 · arxiv updated 2010/04/27

Abstract

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.

Related

• Parity Considerations in Rogers-Ramanujan-Gordon Type Overpartitions
• Modulo d extension of parity results in Rogers-Ramanujan-Gordon type overpartition identities
• One-Parameter Generalizations of Rogers-Ramanujan Type Identities
• A New Series for Rogers-Ramanujan-Gordon Identities when k = 3
• Some partition and analytical identities arising from Alladi, Andrews, Gordon bijections