Fourier coefficients of GL(N) automorphic forms in arithmetic progressions
| hal.structure.identifier | Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] [ETH Zürich] | |
| dc.contributor.author | KOWALSKI, Emmanuel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICOTTA, Guillaume | |
| dc.date.accessioned | 2024-04-04T02:57:18Z | |
| dc.date.available | 2024-04-04T02:57:18Z | |
| dc.date.issued | 2014-08-01 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192553 | |
| dc.description.abstractEn | We show that the multiple divisor functions of integers in invertible residue classes modulo a prime number, as well as the Fourier coefficients of GL(N) Maass cusp forms for all N larger than 2, satisfy a central limit theorem in a suitable range, generalizing the case N=2 treated by E. Fouvry, S. Ganguly, E. Kowalski and P. Michel. Such universal Gaussian behaviour relies on a deep equidistribution result of products of hyper-Kloosterman sums. | |
| dc.language.iso | en | |
| dc.title.en | Fourier coefficients of GL(N) automorphic forms in arithmetic progressions | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1310.5223 | |
| bordeaux.journal | Geometric And Functional Analysis | |
| bordeaux.page | 1229-1297 | |
| bordeaux.volume | 24 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02476652 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02476652v1 | |
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