| dc.contributor.author |
Gupta, Shivajee |
|
| dc.contributor.author |
Vatwani, Akshaa |
|
| dc.coverage.spatial |
United Kingdom |
|
| dc.date.accessioned |
2023-07-06T15:05:54Z |
|
| dc.date.available |
2023-07-06T15:05:54Z |
|
| dc.date.issued |
2023-05 |
|
| dc.identifier.citation |
Gupta, Shivajee and Vatwani, Akshaa, "Riesz-type criteria for L-functions in the Selberg class", Canadian Journal of Mathematics, DOI: 10.4153/S0008414X23000354, May 2023. |
|
| dc.identifier.issn |
0008-414X |
|
| dc.identifier.issn |
1496-4279 |
|
| dc.identifier.uri |
https://doi.org/10.4153/S0008414X23000354 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8989 |
|
| dc.description.abstract |
We formulate a generalization of Riesz-type criteria in the setting of L-functions belonging to the Selberg class. We obtain a criterion which is sufficient for the grand Riemann hypothesis (GRH) for L-functions satisfying axioms of the Selberg class without imposing the Ramanujan hypothesis on their coefficients. We also construct a subclass of the Selberg class and prove a necessary criterion for GRH for L-functions in this subclass. Identities of Ramanujan-Hardy-Littlewood type are also established in this setting, specific cases of which yield new transformation formulas involving special values of the Meijer G-function of the type Gn,00,n |
|
| dc.description.statementofresponsibility |
by Shivajee Gupta and Akshaa Vatwani |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cambridge University Press |
|
| dc.subject |
Selberg class |
|
| dc.subject |
Grand Riemann hypothesis |
|
| dc.subject |
Riesz-type criteria |
|
| dc.subject |
Modular relations |
|
| dc.subject |
Meijer G-function |
|
| dc.title |
Riesz-type criteria for L-functions in the Selberg class |
|
| dc.type |
Article |
|
| dc.relation.journal |
Canadian Journal of Mathematics |
|