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The sum of Lagrange numbers

Abstract : Combining McShane's identity on a hyperbolic punctured torus with Schmutz's work on the Markov Uniqueness Conjecture (MUC), we find that MUC is equivalent to the identity \sum_{n=1}^∞ (3 − Ln) = 4 − ϕ − √ 2 where Ln is the nth Lagrange number and ϕ = 1+ √ 5 / 2 is the golden ratio.
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https://hal.archives-ouvertes.fr/hal-02961570
Contributor : Brice Loustau <>
Submitted on : Thursday, October 8, 2020 - 3:22:48 PM
Last modification on : Saturday, October 10, 2020 - 3:01:31 AM
Long-term archiving on: : Saturday, January 9, 2021 - 6:47:26 PM

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Jonah Gaster, Brice Loustau. The sum of Lagrange numbers. 2020. ⟨hal-02961570⟩

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