The character of \(\mathrm{GL}(2)\) automorphic forms

DOI10.1016/j.jnt.2015.09.011zbMath1332.11059OpenAlexW1897933382MaRDI QIDQ897573

Marc Palm

Publication date: 7 December 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.09.011

zbMATH Keywords

automorphic formsmodular formsSelberg trace formulaMaass formsHecke eigenvaluesArthur trace formula

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

Spinorial Representations of Orthogonal Groups

Cites Work

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• Induced representations of locally profinite groups
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• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Automorphic forms on GL (2)
• The restriction of a representation of GL\(_2(k)\) to GL\(_0(0)\)
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• On the Supercuspidal Representations of Gl 2
• The Selberg trace formula for the Picard group SL(2, Z[i)]
• The Selberg trace formula for 𝑃𝑆𝐿₂(𝑅)ⁿ
• Explicit GL(2) trace formulas and uniform, mixed Weyl laws

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