Geometry of Continued Fractions - Algorithms and Computation in Mathematics
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Published By Springer Berlin Heidelberg

9783642393679, 9783642393686

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Integer Angles of Integer Triangles

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_6 ◽

2013 ◽

pp. 57-65

Author(s):

Oleg Karpenkov

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On Construction of Multidimensional Continued Fractions

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_20 ◽

2013 ◽

pp. 281-300

Author(s):

Oleg Karpenkov

Keyword(s):

Continued Fractions ◽

Multidimensional Continued Fractions

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On Integer Geometry

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_2 ◽

2013 ◽

pp. 19-31

Author(s):

Oleg Karpenkov

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Periodicity of Klein Polyhedra. Generalization of Lagrange’s Theorem

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_18 ◽

2013 ◽

pp. 249-270

Author(s):

Oleg Karpenkov

Keyword(s):

Klein Polyhedra ◽

Lagrange's Theorem

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Dirichlet Groups and Lattice Reduction

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_17 ◽

2013 ◽

pp. 237-247

Author(s):

Oleg Karpenkov

Keyword(s):

Lattice Reduction

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On Empty Simplices, Pyramids, Parallelepipeds

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_15 ◽

2013 ◽

pp. 203-214

Author(s):

Oleg Karpenkov

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Extended Integer Angles and Their Summation

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_12 ◽

2013 ◽

pp. 153-172

Author(s):

Oleg Karpenkov

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Gauss–Kuzmin Statistics

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_9 ◽

2013 ◽

pp. 99-114

Author(s):

Oleg Karpenkov

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Lagrange’s Theorem

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_8 ◽

2013 ◽

pp. 87-97

Author(s):

Oleg Karpenkov

Keyword(s):

Lagrange's Theorem

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Complete Invariant of Integer Angles

Geometry of Continued Fractions - Algorithms and Computation in Mathematics ◽

10.1007/978-3-642-39368-6_4 ◽

2013 ◽

pp. 41-46

Author(s):

Oleg Karpenkov

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