The sum of Lagrange numbers
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Publication:5157813
DOI10.1090/proc/15527zbMath1483.11139arXiv2008.07659OpenAlexW3135025992MaRDI QIDQ5157813
Publication date: 20 October 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07659
Markov and Lagrange spectra and generalizations (11J06) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Cites Work
- Multiplicities of simple closed geodesics and hypersurfaces in Teichmüller space
- The geometry of Markoff numbers
- Diophantine approximation on hyperbolic Riemann surfaces
- Simple geodesics and a series constant over Teichmüller space
- Geometry of Lobachevskii in connection with certain questions of arithmetic
- The modular group action on real \(SL(2)\)-characters of a one-holed torus
- The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms
- Systoles of arithmetic surfaces and Markoff spectrum
- A simple proof of the Markoff conjecture for prime powers
- Markoff forms and primitive words
- Approach to Markoff's minimal forms through modular functions
- Markov's Theorem and 100 Years of the Uniqueness Conjecture
- Simple closed geodesics on 𝐻⁺/Γ(3) arise from the Markov spectrum
- On the Number of Markoff Numbers Below a Given Bound
- Geometry of Riemann surfaces based on closed geodesics
- Don't Try to Solve These Problems
- A Proof of McShane's Identity Via Markoff Triples
- Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
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