Explicit GL(2) trace formulas and uniform, mixed Weyl laws

zbMath1295.11054arXiv1212.4282MaRDI QIDQ5170932

Marc Palm

Publication date: 25 July 2014

Full work available at URL: https://arxiv.org/abs/1212.4282

zbMATH Keywords

trace formulaWeyl lawparabolic distributionHecke and Casimir eigenvaluesHecke Maass cusp form

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (9)

Fields of rationality of cusp forms ⋮ A note on spectral analysis in automorphic representation theory for GL₂: I ⋮ The character of \(\mathrm{GL}(2)\) automorphic forms ⋮ Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups ⋮ ON A TWISTED VERSION OF LINNIK AND SELBERG'S CONJECTURE ON SUMS OF KLOOSTERMAN SUMS ⋮ On the remainder term in the Weyl law for cofinite Kleinian groups with finite dimensional unitary representation ⋮ Burgess-like subconvex bounds for \(\mathrm{GL}_{2}\times \mathrm{GL}_{1}\) ⋮ Twist-minimal trace formula for holomorphic cusp forms ⋮ Bias of root numbers for Hilbert newforms of cubic level

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