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Spectral reciprocity via integral representations

Ramon M. Nunes
Vol. 17 (2023), No. 8, 1381–1409
DOI: 10.2140/ant.2023.17.1381
Abstract

We prove a spectral reciprocity formula for automorphic forms on GL ⁡ (2) over a number field that is reminiscent of one found by Blomer and Khan. Our approach uses period representations of L-functions and the language of automorphic representations.

Keywords
automorphic representations, L-functions, Rankin–Selberg
Mathematical Subject Classification
Primary: 11F03, 11F66, 11F70
Milestones
Received: 21 March 2021
Revised: 2 May 2022
Accepted: 6 July 2022
Published: 29 August 2023
Authors
Ramon M. Nunes
Departamento de Matemática
Universidade Federal do Ceará
Fortaleza
Brazil
© 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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