On n-dimensional additive moduli and Diophantine approximations

Alexander Ostrowski

Displaying similar documents to “On n-dimensional additive moduli and Diophantine approximations”

An application of Minkowski's theorem in the geometry of numbers

L. Mordell (1972)

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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 $b$ to the $ℤ^{d}$ case and obtain an explicit construction of the generic point of the $ℤ^{d}$ shift transformation of the set ${0, 1, . . ., b - 1}^{ℤ^{d}}$ . We prove that the intersection of the considered lattice configuration with an arbitrary line is a normal sequence in base $b$ .

A class of completely monotonic functions

C. G. G. Van Herk (1951)

Compositio Mathematica

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Imre Z. Ruzsa, Andrzej Schinzel (1995)

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The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI

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 $μ$ , 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...

Finite dimensional projection constants

H. König, D. Lewis, P.-K. Lin (1983)

Studia Mathematica

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