| dc.contributor.author |
Banerjee, Koustav |
|
| dc.contributor.author |
Dixit, Atul |
|
| dc.date.accessioned |
2016-07-25T11:32:40Z |
|
| dc.date.available |
2016-07-25T11:32:40Z |
|
| dc.date.issued |
2016-07 |
|
| dc.identifier.citation |
Banerjee, Koustav and Dixit, Atul, “New representations for σ(q) via reciprocity theorems”, arXiv, Cornell University Library, DOI: arXiv:1607.05651, Jul. 2016. |
en_US |
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/2399 |
|
| dc.identifier.uri |
http://arxiv.org/abs/1607.05651 |
|
| dc.description.abstract |
Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses the three-variable reciprocity theorem due to Soon-Yi Kang and a transformation due to R.P. Agarwal while that of the second uses the four-variable reciprocity theorem due to George Andrews and a generalization of a recent transformation of Andrews, Schultz, Yee and the second author. The advantage of these representations is that they involve free complex parameters - one in the first representation, and two in the second. |
en_US |
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.title |
New representations for σ(q) via reciprocity theorems |
en_US |
| dc.type |
Preprint |
en_US |