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arxiv: 1512.01152 · v1 · pith:GRZSR3HSnew · submitted 2015-12-03 · 🧮 math.NT

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

classification 🧮 math.NT
keywords best-possiblekloostermanlargesievespectralsumsapplicationassociated
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We prove best-possible bounds for bilinear forms in Kloosterman sums for GL(3) associated with the long Weyl element. As an application we derive a best-possible spectral large sieve inequality on GL(3).

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