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An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$ (2102.02796v1)
Published 4 Feb 2021 in math.NT
Abstract: We prove an improved spectral large sieve inequality for the family of $SL_3(\mathbb{Z})$ Hecke-Maass cusp forms. The method of proof uses duality and its structure reveals unexpected connections to Heath-Brown's large sieve for cubic characters.
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