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arXiv · 2102.02796

An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$

Matthew P. Young
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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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Matthew P. Young. 2021-02-04. An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$. https://doi.org/10.4064/aa211008-29-4

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