Hyperbolic lattice point counting in unbounded rank
-
Valentin Blomer
and
Christopher Lutsko
Abstract
We use spectral analysis to give an asymptotic formula for the number of matrices in
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: SFB-TRR 358/1 2023 – 491392403
Award Identifier / Grant number: EXC-2047/1 – 390685813
Funding source: European Research Council
Award Identifier / Grant number: 101054336
Funding statement: The first author was supported by DFG through SFB-TRR 358/1 2023 – 491392403 and EXC-2047/1 – 390685813 and by ERC Advanced Grant 101054336.
Acknowledgements
We thank Peter Sarnak for the discussion which led to this project, Alex Kontorovich for insightful discussions, and the referee for a timely and careful reading of the manuscript. The second author would like to thank the University of Bonn for hosting him in the summer 2023.
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- The theory of F-rational signature
- Jacobian determinants for nonlinear gradient of planar ∞-harmonic functions and applications
- Fano varieties with torsion in the third cohomology group
- The distribution of Manin’s iterated integrals of modular forms
- On some 𝑝-adic and mod 𝑝 representations of quaternion algebra over ℚ𝑝
- Nonexistence of isoperimetric sets in spaces of positive curvature
- Simple 𝑝-adic Lie groups with abelian Lie algebras
- Hyperbolic lattice point counting in unbounded rank
- The (almost) integral Chow ring of ℳ̅3
Articles in the same Issue
- Frontmatter
- The theory of F-rational signature
- Jacobian determinants for nonlinear gradient of planar ∞-harmonic functions and applications
- Fano varieties with torsion in the third cohomology group
- The distribution of Manin’s iterated integrals of modular forms
- On some 𝑝-adic and mod 𝑝 representations of quaternion algebra over ℚ𝑝
- Nonexistence of isoperimetric sets in spaces of positive curvature
- Simple 𝑝-adic Lie groups with abelian Lie algebras
- Hyperbolic lattice point counting in unbounded rank
- The (almost) integral Chow ring of ℳ̅3
