| dc.contributor.author |
Dixit, Atul |
|
| dc.contributor.author |
Kumar, Gaurav |
|
| dc.contributor.author |
Srivastava, Aviral |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2025-08-18T07:09:25Z |
|
| dc.date.available |
2025-08-18T07:09:25Z |
|
| dc.date.issued |
2025-08 |
|
| dc.identifier.citation |
Dixit, Atul; Kumar, Gaurav and Srivastava, Aviral, "Some identities of the sums-of-tails type", arXiv, Cornell University Library, DOI: arXiv:2508.04365, Aug. 2025. |
|
| dc.identifier.uri |
https://doi.org/10.48550/arXiv.2508.04365 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/11756 |
|
| dc.description.abstract |
A new sums-of-tails identity involving two parameters b and d is obtained and is used to derive more results of similar type. One of Ramanujan's sums-of-tails identities from the Lost Notebook is shown to be a special case of our result. In the course of deriving Ramanujan's identity, we obtain a new result of combinatorial significance. Two new representations for an infinite series associated to a mock theta function are derived. Also, we give an application of an identity of Andrews and Onofri. |
|
| dc.description.statementofresponsibility |
by Atul Dixit, Gaurav Kumar and Aviral Srivastava |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.title |
Some identities of the sums-of-tails type |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|