Hybrid trace formula for a non-uniform irreducible lattice in \(\mathrm{PSL}_2(\mathbb R)^n\)

DOI10.1016/j.jnt.2012.12.008zbMath1285.11077arXiv1208.5955OpenAlexW2963230568MaRDI QIDQ2444494

Dubi Kelmer

Publication date: 9 April 2014

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

Full work available at URL: https://arxiv.org/abs/1208.5955

zbMATH Keywords

trace formulaSelberg zeta functionHilbert modular groups

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces
• On the Ramanujan conjecture over number fields
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Strong spectral gaps for compact quotients of products of \(\text{PSL}(2,\mathbb R)\)
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Distribution of holonomy about closed geodesics in a product of hyperbolic planes
• The Selberg trace formula for 𝑃𝑆𝐿₂(𝑅)ⁿ