On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups

نویسندگان

چکیده

A well-known result of Lagrange (1770) characterises quadratic irrationalities as those real numbers that can be written periodic continued fractions. Hermite asked in 1848 if there exists some way to write cubic periodically. To ap

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ژورنال

عنوان ژورنال: Acta Arithmetica

سال: 2022

ISSN: ['0065-1036', '1730-6264']

DOI: https://doi.org/10.4064/aa210614-5-1