| dc.contributor.author |
Dixit, Atul |
|
| dc.contributor.author |
Gupta, Shivajee |
|
| dc.contributor.author |
Vatwani, Akshaa |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2022-07-14T15:22:05Z |
|
| dc.date.available |
2022-07-14T15:22:05Z |
|
| dc.date.issued |
2022-11 |
|
| dc.identifier.citation |
Dixit, Atul; Gupta, Shivajee and Vatwani, Akshaa, "A modular relation involving non-trivial zeros of the dedekind zeta function, and the generalized Riemann hypothesis", Journal of Mathematical Analysis and Applications, DOI: 10.1016/j.jmaa.2022.126435, Vol. 515, no. 2, Nov. 2022. |
en_US |
| dc.identifier.issn |
0022-247X |
|
| dc.identifier.uri |
https://doi.org/10.1016/j.jmaa.2022.126435 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/7886 |
|
| dc.description.abstract |
We give a number field analogue of a result of Ramanujan, Hardyand Littlewood,thereby obtaining a modular relation involving the non-trivial zeros of the Dedekind zeta function.We also provide a Riesz-type criterion for the Generalized Riemann Hypothesis for?K(s). Newelegant transformations are obtained whenKis a quadratic extension, one of which involves themodified Bessel function of the second kind. |
|
| dc.description.statementofresponsibility |
by Atul Dixit, Shivajee Gupta and Akshaa Vatwani |
|
| dc.format.extent |
Vol. 515, no. 2 |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Elsevier |
en_US |
| dc.subject |
Dedekind zeta function |
en_US |
| dc.subject |
Riemann hypothesis |
en_US |
| dc.subject |
Riesz-type criterion |
en_US |
| dc.subject |
Modular relation |
en_US |
| dc.subject |
Bessel function |
en_US |
| dc.title |
A modular relation involving non-trivial zeros of the dedekind zeta function, and the generalized Riemann hypothesis |
en_US |
| dc.type |
Article |
en_US |
| dc.relation.journal |
Journal of Mathematical Analysis and Applications |
|