| dc.contributor.author |
Dixit, Atul |
|
| dc.contributor.author |
Sathyanarayana, Sumukha |
|
| dc.contributor.author |
Sharan, N. Guru |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2025-02-14T14:13:25Z |
|
| dc.date.available |
2025-02-14T14:13:25Z |
|
| dc.date.issued |
2025-02 |
|
| dc.identifier.citation |
Dixit, Atul; Sathyanarayana, Sumukha and Sharan, N. Guru, "On a function of Ramanujan twisted by a logarithm", arXiv, Cornell University Library, DOI: arXiv:2502.02419, Feb. 2025. |
|
| dc.identifier.uri |
http://arxiv.org/abs/2502.02419 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/11021 |
|
| dc.description.abstract |
A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on page 220 of Ramanujan's Lost Notebook as well as a corresponding recent result for the derivative of Deninger's function are two main ingredients in its derivation. An interesting integral H(x), which is of independent interest, plays a prominent role in our functional equation. Several alternative representations for H(x) are obtained. |
|
| dc.description.statementofresponsibility |
by Atul Dixit, Sumukha Sathyanarayana and N. Guru Sharan |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.title |
On a function of Ramanujan twisted by a logarithm |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|