On the lattice point theory of multidimensional ellipsoids
B. Diviš, B. Novák (1974)
Acta Arithmetica
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B. Diviš, B. Novák (1974)
Acta Arithmetica
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H. Fiedler, W. Jurkat, O. Körner (1977)
Acta Arithmetica
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Fernando Chamizo (1997)
Journal de théorie des nombres de Bordeaux
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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 .
S. Graham, G. Kolesnik (1988)
Acta Arithmetica
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Andrzej Schinzel (1973)
Acta Arithmetica
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Peten'ko, V.O. (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Kurt Girstmair (1998)
Acta Arithmetica
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