Abstract
We derive the general series-product identities from which we deduce several applications, including an identity of Gauss, the generalization of Winquist's identity by Carlitz and Subbarao, an identity for (x; x)∞10, the quintuple product identity, and the octuple product identity.
| Original language | English |
|---|---|
| Pages (from-to) | 1129-1148 |
| Number of pages | 20 |
| Journal | International Journal of Number Theory |
| Volume | 5 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2009 Oct 22 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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On general series-product identities. / Chen, Sin Da; Huang, Sen Shan.
In: International Journal of Number Theory, Vol. 5, No. 6, 22.10.2009, p. 1129-1148.Research output: Contribution to journal › Article
TY - JOUR
T1 - On general series-product identities
AU - Chen, Sin Da
AU - Huang, Sen Shan
PY - 2009/10/22
Y1 - 2009/10/22
N2 - We derive the general series-product identities from which we deduce several applications, including an identity of Gauss, the generalization of Winquist's identity by Carlitz and Subbarao, an identity for (x; x)∞10, the quintuple product identity, and the octuple product identity.
AB - We derive the general series-product identities from which we deduce several applications, including an identity of Gauss, the generalization of Winquist's identity by Carlitz and Subbarao, an identity for (x; x)∞10, the quintuple product identity, and the octuple product identity.
UR - http://www.scopus.com/inward/record.url?scp=70350077835&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70350077835&partnerID=8YFLogxK
U2 - 10.1142/S1793042109002596
DO - 10.1142/S1793042109002596
M3 - Article
AN - SCOPUS:70350077835
VL - 5
SP - 1129
EP - 1148
JO - International Journal of Number Theory
JF - International Journal of Number Theory
SN - 1793-0421
IS - 6
ER -