An improved spectral large sieve inequality for SL₃(ℤ)

2021/02/04 by Young, Matthew P.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2102.02796

Abstract

We prove an improved spectral large sieve inequality for the family of SL₃(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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