TY - JOUR
T1 - Some Hecke-Rogers type identities
AU - Wang, Liuquan
AU - Yee, Ae Ja
N1 - Publisher Copyright:
© 2019 Elsevier Inc.
PY - 2019/6/20
Y1 - 2019/6/20
N2 - Recently, a new partition function associated with Ramanujan's third order mock theta function ω(q) was discovered, and subsequently its overpartition analogue was introduced. In this paper, we prove an intriguing identity arising from the study of that analogue, which involves a double series of Hecke-Rogers type. In addition, two further identities will be given. Our proofs heavily rely on formulas from the work of Liu [12].
AB - Recently, a new partition function associated with Ramanujan's third order mock theta function ω(q) was discovered, and subsequently its overpartition analogue was introduced. In this paper, we prove an intriguing identity arising from the study of that analogue, which involves a double series of Hecke-Rogers type. In addition, two further identities will be given. Our proofs heavily rely on formulas from the work of Liu [12].
UR - http://www.scopus.com/inward/record.url?scp=85064631732&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85064631732&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2019.04.015
DO - 10.1016/j.aim.2019.04.015
M3 - Article
AN - SCOPUS:85064631732
SN - 0001-8708
VL - 349
SP - 733
EP - 748
JO - Advances in Mathematics
JF - Advances in Mathematics
ER -