Special values of ray class partial zeta functions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| dc.contributor.author | BELABAS, Karim | |
| dc.contributor.author | DIAZ Y DIAZ, Francisco | |
| dc.contributor.author | FRIEDMAN, Eduardo | |
| dc.date.accessioned | 2024-04-04T02:34:47Z | |
| dc.date.available | 2024-04-04T02:34:47Z | |
| dc.date.issued | 2023-04 | |
| dc.identifier.issn | 1793-0421 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190576 | |
| dc.description.abstractEn | For totally real number fields, we show that the special values of narrow ray class partial zeta functions at negative odd integers depend only on the wide ray class associated to the given narrow class. At even nonpositive integers, we show that the same is true, but only up to sign. For a general number field, we prove similar results for the leading terms at special points. | |
| dc.description.sponsorship | Familles de fonctions L: analyse, interactions, résultats effectifs - ANR-17-CE40-0012 | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.title.en | Special values of ray class partial zeta functions | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/S1793042123500227 | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | International Journal of Number Theory | |
| bordeaux.page | 481-493 | |
| bordeaux.volume | 19 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 03 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04046224 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04046224v1 | |
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