Abstract
In a manuscript of Ramanujan, published with his Lost Notebook [21, pp. 236-237], there are forty identities involving the Rogers-Ramanujan functions. According to G. N. Watson, the beauty of these identities are comparable to that of the Rogers- Ramanujan identities. In the paper, we establish modular relations involving the Göllnitz-Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting partition results from some of the modular relations.
| Original language | English |
|---|---|
| Pages (from-to) | 178-216 |
| Number of pages | 39 |
| Journal | Journal of Number Theory |
| Volume | 68 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1998 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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On Modular Relations for the Göllnitz-Gordon Functions with Applications to Partitions. / Huang, Sen-Shan.
In: Journal of Number Theory, Vol. 68, No. 2, 01.02.1998, p. 178-216.Research output: Contribution to journal › Article
TY - JOUR
T1 - On Modular Relations for the Göllnitz-Gordon Functions with Applications to Partitions
AU - Huang, Sen-Shan
PY - 1998/2/1
Y1 - 1998/2/1
N2 - In a manuscript of Ramanujan, published with his Lost Notebook [21, pp. 236-237], there are forty identities involving the Rogers-Ramanujan functions. According to G. N. Watson, the beauty of these identities are comparable to that of the Rogers- Ramanujan identities. In the paper, we establish modular relations involving the Göllnitz-Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting partition results from some of the modular relations.
AB - In a manuscript of Ramanujan, published with his Lost Notebook [21, pp. 236-237], there are forty identities involving the Rogers-Ramanujan functions. According to G. N. Watson, the beauty of these identities are comparable to that of the Rogers- Ramanujan identities. In the paper, we establish modular relations involving the Göllnitz-Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting partition results from some of the modular relations.
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UR - http://www.scopus.com/inward/citedby.url?scp=0008827065&partnerID=8YFLogxK
U2 - 10.1006/jnth.1997.2205
DO - 10.1006/jnth.1997.2205
M3 - Article
VL - 68
SP - 178
EP - 216
JO - Journal of Number Theory
JF - Journal of Number Theory
SN - 0022-314X
IS - 2
ER -