Spectral reciprocity via integral representations

Spectral reciprocity via integral representations

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

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Veröffentlicht in:arXiv.org 2021-12
1. Verfasser: Nunes, Ramon M
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Number Theory
Number theory
Reciprocity
Representations
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Beschreibung
Zusammenfassung:We prove a spectral reciprocity formula for automorphic forms on \(\mathrm{GL}(2)\) over a number field that is remininscent of the one found by Blomer and Khan. Our approach uses period representations of \(L\)-functions and the language of automorphic representations.
ISSN:2331-8422
DOI:10.48550/arxiv.2002.01993