Partition Identities for Ramanujan's Third Order Mock Theta Functions

Details Partition Identities for Ramanujan's Third Order Mock Theta Functions Partition Identities for Ramanujan's Third Order Mock Theta Functions

2010-06-16

arxiv.org/abs/1006.3194v1

Mathematics

Combinatorics

12 pages, 1 figure

Scientific paper

We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions $\phi(-q)$ and $\psi(-q)$. We also give an involution for Fine's partition identity on the mock theta function f(q). The two classical identities of Ramanujan on third order mock theta functions are consequences of these partition identities. Our combinatorial constructions also apply to Andrews' generalizations of Ramanujan's identities.

Affiliated with

Also associated with

No associations

Rating

Partition Identities for Ramanujan's Third Order Mock Theta Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Partition Identities for Ramanujan's Third Order Mock Theta Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partition Identities for Ramanujan's Third Order Mock Theta Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100492