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On the spectral large sieve inequality for symmetric-squares

  • Matthew P. Young ORCID logo EMAIL logo
From the journal Forum Mathematicum

Abstract

We improve on the spectral large sieve inequality for symmetric-squares. We also prove a lower bound showing that the most optimistic upper bound is not true for this family.

MSC 2020: 11F20

Communicated by Valentin Blomer


Award Identifier / Grant number: DMS-2001306

Funding statement: This material is based upon work supported by the National Science Foundation under agreement No. DMS-2001306.

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Received: 2022-08-05
Revised: 2023-02-20
Published Online: 2023-05-03
Published in Print: 2023-09-01

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