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

2015/12/03 by Valentin Blomer, Blomer, Valentin, Jack Buttcane +1 · 1 citation
Mathematics · #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.1512.01152

Abstract

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

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