Weyl’s law for the cuspidal spectrum of SLn
By Werner Mueller. 2003
70 citations recorded by the source corpus.
Let r be a principal congruence subgroup of SL n (Z) and let σ be an irreducible unitary representation of SO(n). Let N Γ cus (λ,σ) be the counting function of the eigenvalues of the Casimir operator acting in the space of cusp forms for Γ which transform under SO(n) according to a. In this paper we prove that the counting function N Γ cus (λ,σ) satisfies Weyl's law. Especially, this implies that there exist infinitely many cusp forms for the full modular group SL n (Z).
Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9429607ae0c3331558558f146815bcfa53bb1dc3
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In Algebra and Number Theory
- Erez Lapid
- Elon Lindenstrauss
- Werner Mueller
- Akshay Venkatesh
- P. Michel
- R. Munshi
- V. Blomer
- Nicolas Templier
In Applied Mathematics
- Akshay Venkatesh
- Erez Lapid
- Elon Lindenstrauss
- Werner Mueller
- Manfred Einsiedler
- Kannan Soundararajan
- A. Katok
- Dmitry Kleinbock
In Mathematical Physics
- Akshay Venkatesh
- Erez Lapid
- Elon Lindenstrauss
- Werner Mueller
- Manfred Einsiedler
- P. Michel
- Kannan Soundararajan
- V. Blomer
Citations in the corpus
- SPECTRAL ASYMPTOTICS FOR ARITHMETIC QUOTIENTS OF SL(n,R)/SO(n) (2007, methodology): “In this section we analyze the spectral side of the trace formula for G = GL(n), following [Mül07].”
- Existence and Weyl’s law for spherical cusp forms (2005, background): “Müller [18] has established this conjecture forG = PGL(n).”