Vladimir Arnold
Publications:
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Arnold V. I.
Are quadratic residues random?
2010, vol. 15, nos. 4-5, pp. 425-430
Abstract
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Arnold V. I.
Higher dimensional continued fractions
1998, vol. 3, no. 3, pp. 10-17
Abstract
The higher-dimensional analogue of a continuous fraction is the polyhedral surface, bounding the convex hull of the semigroup of the integer points in a simplicial cone of the euclidian space. The article describes some conjectures and theorems, extending to such higher-dimensional continouos fraction the Lagrange theorem on quadraticirrationals and the Gauss–Kuzmin statistics.
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