Global decomposition of GL(3) Kloosterman sums and the spectral large sieve

Author:

Blomer Valentin1,Buttcane Jack2

Affiliation:

1. Mathematisches Institut, Universität Göttingen, Bunsenstr. 3–5, 37073Göttingen, Germany

2. Department of Mathematics, University at Buffalo, 244 Mathematics Building, Buffalo, NY 14260-2900, USA

Abstract

AbstractWe prove best-possible bounds for bilinear forms in Kloosterman sums for \operatorname{GL}(3) associated with the long Weyl element. As an application we derive a best-possible spectral large sieve inequality on \operatorname{GL}(3).

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

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5. Upper bounds on L-functions at the edge of the critical strip;Int. Math. Res. Not. IMRN,2010

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