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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/228933
Continuity of the j-function on the Markov tree
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One way of defining the values of the modular $j$-function at real quadratic irrationalities is by its cycle integrals along geodesics in the upper half plane whose endpoints are the roots of an indefinite binary quadratic form. We show that the restriction of the modular $j$-function to Markov irrationalities (an important subset of real quadratic irrationalities in diophantine approximation) is continuous with respect to the topology induced by the
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BENGOECHEA, Paloma. Continuity of the j-function on the Markov tree. Bulletin of the London Mathematical Society. 2024. Vol. 56, num. 12, pags. 3867-3882. ISSN 0024-6093. [consulted: 6 of June of 2026]. Available at: https://hdl.handle.net/2445/228933