An application of Minkowski's theorem in the geometry of numbers
L. Mordell (1972)
Acta Arithmetica
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L. Mordell (1972)
Acta Arithmetica
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Mordechay B. Levin, Meir Smorodinsky (2005)
Journal de Théorie des Nombres de Bordeaux
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In this paper we extend Champernowne’s construction of normal numbers in base to the case and obtain an explicit construction of the generic point of the shift transformation of the set . We prove that the intersection of the considered lattice configuration with an arbitrary line is a normal sequence in base .
C. G. G. Van Herk (1951)
Compositio Mathematica
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Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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Henrik Aratyn, Johan van de LEUR (2005)
Annales de l’institut Fourier
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Equivalence is established between a special class of Painlevé VI equations parametrized by a conformal dimension , time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomonodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian...
H. König, D. Lewis, P.-K. Lin (1983)
Studia Mathematica
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