The limit points of the bass notes of arithmetic hyperbolic surfaces

2024/03/01 by Michael Magee, Magee, Michael · 1 citation
Engineering · Mathematics · #05C50 #05C80 #58J50 #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #History and Theory of Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Probability (math.PR) #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2403.00928

openalex publication_date 2024/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the limit points of the bass notes of arithmetic hyperbolic surfaces are the interval [0,(1)/(4)].

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• Apollonian random manifolds and their bass notes

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