I will show how to use q-binomial theorem in order to prove some simple polynomial identites involving q-trinomial coefficients. Using Trinomial Analogue of Bailey Lemma on these identites yields the Capparelli partition theorem.
I conclude with a display of new infinite hierarchy of multisum = product identities involving bases q, q 2, q 6 .
This talk is based on my recent joint work with Ali K. Uncu.
On some elementary polynomial identites Involving q-trinomial coefficients
23.10.2018 15:15 - 16:45
Organiser:
M. Drmota
Location: