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- W4311929776 abstract "É. Ghys proved that the linking numbers of modular knots and the missing trefoil K2,3 in S3 coincide with the values of a highly ubiquitous function called the Rademacher symbol for SL2Z . In this article, we replace SL2Z=Γ2,3 by the triangle group Γp,q for any coprime pair (p, q) of integers with 2≤p<q . We invoke the theory of harmonic Maass forms for Γp,q to introduce the notion of the Rademacher symbol ψp,q , and provide several characterizations. Among other things, we generalize Ghys's theorem for modular knots around any missing torus knot Kp,q in S3 and in a lens space." @default.
- W4311929776 created "2023-01-02" @default.
- W4311929776 creator A5039419454 @default.
- W4311929776 creator A5044829949 @default.
- W4311929776 date "2022-12-09" @default.
- W4311929776 modified "2023-10-17" @default.
- W4311929776 title "Modular knots, automorphic forms, and the Rademacher symbols for triangle groups" @default.
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- W4311929776 doi "https://doi.org/10.1007/s40687-022-00366-8" @default.
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