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Linking numbers of modular geodesics

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Abstract

We use the identification due to Ghys [7] of the linking numbers of closed geodesics in the modular quotient with the Rademacher function to determine the statistical behavior of these numbers when the geodesics are ordered by their length. In particular, proofs are given of all of the results outlined in the letter [23].

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    C. J. Mozzochi

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  1. C. J. Mozzochi
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Dedicated to the Memory of Walter Rudin

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Mozzochi, C.J. Linking numbers of modular geodesics. Isr. J. Math. 195, 71–95 (2013). https://doi.org/10.1007/s11856-012-0161-6

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  • DOI: https://doi.org/10.1007/s11856-012-0161-6

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