The geometry of the third moment of exponential sums
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JOUVE, Florent | |
| dc.date.accessioned | 2024-04-04T02:37:51Z | |
| dc.date.available | 2024-04-04T02:37:51Z | |
| dc.date.created | 2007-05-25 | |
| dc.date.issued | 2009-05-01 | |
| dc.identifier.issn | 2118-8572 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190836 | |
| dc.description.abstractEn | We give a geometric interpretation (and we deduce an explicit formula) for two types of exponential sums, one of which is the third moment of certain Kloosterman sums. We establish a connection between the sums considered and the number of rational points over finite fields on explicit smooth projective surfaces, one of which is a K3 surface, whereas the other is a smooth cubic surface. As a consequence, we obtain, applying Grothendieck-Lefschetz theory, a generalized formula for the third moment of Kloosterman sums first investigated by D. H. and E. Lehmer in the 60's . | |
| dc.language.iso | en | |
| dc.publisher | Société Arithmétique de Bordeaux | |
| dc.title.en | The geometry of the third moment of exponential sums | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Journal de Théorie des Nombres de Bordeaux | |
| bordeaux.page | ? | |
| bordeaux.volume | Volume en l'honneur de Henri Cohen | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00387285 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00387285v1 | |
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