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Global decomposition of GL(3) Kloosterman sums and the spectral large sieve (1512.01152v1)

Published 3 Dec 2015 in math.NT

Abstract: 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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