A new four parameter q-series identity and its partition implications

Details A new four parameter q-series identity and its partition implications A new four parameter q-series identity and its partition implications

2002-05-06

arxiv.org/abs/math/0205055v3

Mathematics

Combinatorics

25 pages, in Sec. 3 Table 1 is added, discussion is added at the end of Sec. 5, minor stylistic changes, typos eliminated. To

Scientific paper

10.1007/s00222-003-0285-8

We prove a new four parameter q-hypergeometric series identity from which the three parameter key identity for the Goellnitz theorem due to Alladi, Andrews, and Gordon, follows as a special case by setting one of the parameters equal to 0. The new identity is equivalent to a four parameter partition theorem which extends the deep theorem of Goellnitz and thereby settles a problem raised by Andrews thirty years ago. Some consequences including a quadruple product extension of Jacobi's triple product identity, and prospects of future research are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

A new four parameter q-series identity and its partition implications 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 A new four parameter q-series identity and its partition implications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new four parameter q-series identity and its partition implications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-497311