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Quantum invariants of hyperbolic knots and extreme values of trigonometric products

In this paper, we study the relation between the function [Formula: see text] , which arises from a quantum invariant of the figure-eight knot, and Sudler’s trigonometric product. We find [Formula: see text] up to a constant factor along continued fraction convergents to a quadratic irrational, and...

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Detalles Bibliográficos
Autores principales: Aistleitner, Christoph, Borda, Bence
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9484553/
https://www.ncbi.nlm.nih.gov/pubmed/36147943
http://dx.doi.org/10.1007/s00209-022-03086-5