Power-moments of SL$_3(\mathbb Z)$ Kloosterman sums

Title:

Power-moments of SL$_3(\mathbb Z)$ Kloosterman sums

Creator:

Djanković, Goran

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c79ace55-d5f3-49cf-a221-5dd339b8fa73
uuid:c79ace55-d5f3-49cf-a221-5dd339b8fa73

Subject:

power-moment and SL$_3(\mathbb Z)$-Kloosterman sum

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Classical Kloosterman sums have a prominent role in the study of automorphic forms on GL$_2$ and further they have numerous applications in analytic number theory. In recent years, various problems in analytic theory of automorphic forms on GL$_3$ have been considered, in which analogous GL$_3$-Kloosterman sums (related to the corresponding Bruhat decomposition) appear. In this note we investigate the first four power-moments of the Kloosterman sums associated with the group SL$_3(\mathbb Z)$. We give formulas for the first three moments and a nontrivial bound for the fourth.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

833-845

Source:

Czechoslovak Mathematical Journal | 2013 Volume:63 | Number:3

Harvested from:

CDK

Metadata only:

false