Abstract
We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.
| Original language | English |
|---|---|
| Pages (from-to) | 58-75 |
| Number of pages | 18 |
| Journal | Journal of Number Theory |
| Volume | 93 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2002 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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New modular relations for the Göllnitz-Gordon functions. / Chen, Shu Ling; Huang, Sen Shan.
In: Journal of Number Theory, Vol. 93, No. 1, 01.01.2002, p. 58-75.Research output: Contribution to journal › Article
TY - JOUR
T1 - New modular relations for the Göllnitz-Gordon functions
AU - Chen, Shu Ling
AU - Huang, Sen Shan
PY - 2002/1/1
Y1 - 2002/1/1
N2 - We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.
AB - We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.
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U2 - 10.1006/jnth.2001.2708
DO - 10.1006/jnth.2001.2708
M3 - Article
VL - 93
SP - 58
EP - 75
JO - Journal of Number Theory
JF - Journal of Number Theory
SN - 0022-314X
IS - 1
ER -