Abstract
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We prove a spectral reciprocity formula for automorphic forms on
over a number field
that is reminiscent of one found by Blomer and Khan. Our approach uses period representations
of
-functions
and the language of automorphic representations.
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Keywords
automorphic representations, L-functions, Rankin–Selberg
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Mathematical Subject Classification
Primary: 11F03, 11F66, 11F70
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Milestones
Received: 21 March 2021
Revised: 2 May 2022
Accepted: 6 July 2022
Published: 29 August 2023
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© 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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