TY - JOUR
T1 - Theta-function identities of level 8 and its application to partitions
AU - Kumar, B. R.Srivatsa
AU - Rajanna, K. R.
AU - Narendra, R.
PY - 2019/3/4
Y1 - 2019/3/4
N2 - S. Ramanujan has recorded many theta-function identities in his notebooks and ‘Lost’ notebook. Inspired by the works of Ramanujan, recently M. Somos discovered several new theta-function identities using PARI/GP scripts without offering the proof, which are analogous to Ramanujan’s theta-function identities. In this paper, we give proofs for some theta-function identities of level 8 discovered by Somos. Furthermore, we extract some partition identities from them.
AB - S. Ramanujan has recorded many theta-function identities in his notebooks and ‘Lost’ notebook. Inspired by the works of Ramanujan, recently M. Somos discovered several new theta-function identities using PARI/GP scripts without offering the proof, which are analogous to Ramanujan’s theta-function identities. In this paper, we give proofs for some theta-function identities of level 8 discovered by Somos. Furthermore, we extract some partition identities from them.
UR - http://www.scopus.com/inward/record.url?scp=85063297580&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85063297580&partnerID=8YFLogxK
U2 - 10.1007/s13370-018-0643-8
DO - 10.1007/s13370-018-0643-8
M3 - Article
AN - SCOPUS:85063297580
SN - 1012-9405
VL - 30
SP - 257
EP - 267
JO - Afrika Matematika
JF - Afrika Matematika
IS - 1-2
ER -