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12:30 pm

On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups (Oleg Karpenkov, Liverpool)

September 14 @ 12:30 pm - 1:20 pm

In this talk we introduce a new modification of the Jacobi-Perron algorithm in the three dimensional case. This algorithm is periodic for the case of totally-real conjugate cubic vectors. To the best of our knowledge this is the first Jacobi-Perron type algorithm for which the cubic periodicity is proven. This provides an answer in the […]

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