| dc.contributor.author | Chirre, Andrés | |
| dc.date.accessioned | 2023-03-16T09:12:29Z | |
| dc.date.available | 2023-03-16T09:12:29Z | |
| dc.date.created | 2022-09-23T10:54:31Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Proceedings of the American Mathematical Society. 2022, 150 (8), 3253-3265. | en_US |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.uri | https://hdl.handle.net/11250/3058642 | |
| dc.description.abstract | Assuming the Riemann hypothesis, we obtain a formula for the mean value of the
-derivative of , depending on the pair correlation of zeros of the Riemann zeta-function. This formula allows us to obtain new equivalences to Montgomery’s pair correlation conjecture. This extends a result of Goldston, Gonek, and Montgomery where the mean value of was considered. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.title | A note on the mean values of the derivatives of ζ/ζ | en_US |
| dc.title.alternative | A note on the mean values of the derivatives of ζ/ζ | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | acceptedVersion | en_US |
| dc.source.pagenumber | 3253-3265 | en_US |
| dc.source.volume | 150 | en_US |
| dc.source.journal | Proceedings of the American Mathematical Society | en_US |
| dc.source.issue | 8 | en_US |
| dc.identifier.doi | 10.1090/proc/15906 | |
| dc.identifier.cristin | 2054721 | |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.qualitycode | 1 | |
