| dc.contributor.author |
Dixit, Atul |
|
| dc.contributor.author |
Roy, Arindam |
|
| dc.contributor.author |
Zaharescu, Alexandru |
|
| dc.date.accessioned |
2015-11-04T14:24:51Z |
|
| dc.date.available |
2015-11-04T14:24:51Z |
|
| dc.date.issued |
2016-03 |
|
| dc.identifier.citation |
Dixit, Atul; Roy, Arindam and Zaharescu, Alexandru, “Riesz-type criteria and theta transformation analogues”, Journal of Number Theory, DOI: 10.1016/j.jnt.2015.08.005, vol. 160, pp. 385-408, Mar. 2016. |
en_US |
| dc.identifier.uri |
http://dx.doi.org/10.1016/j.jnt.2015.08.005 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/1961 |
|
| dc.description.abstract |
We give character analogues of a generalization of a result due to Ramanujan, Hardy and Littlewood, and provide Riesz-type criteria for Riemann Hypotheses for the Riemann zeta function and Dirichlet L-functions. We also provide analogues of the general theta transformation formula and of recent generalizations of the transformation formulas of W.L. Ferrar and G.H. Hardy for real primitive Dirichlet characters. |
en_US |
| dc.description.statementofresponsibility |
by Atul Dixit, Arindam Roy, Alexandru Zaharescu |
|
| dc.format.extent |
vol. 160, pp. 385-408, |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Elsevier |
en_US |
| dc.subject |
Möbius function |
en_US |
| dc.subject |
Riemann zeta function |
en_US |
| dc.subject |
Dirichlet L-function |
en_US |
| dc.subject |
Riemann Hypothesis |
en_US |
| dc.subject |
Hypergeometric function |
en_US |
| dc.subject |
Ramanujan |
en_US |
| dc.subject |
Ramanujan |
en_US |
| dc.subject |
Ferrar |
en_US |
| dc.title |
Riesz-type criteria and theta transformation analogues |
en_US |
| dc.type |
Article |
en_US |
| dc.relation.journal |
Journal of Number Theory |
|