On the discrepancy of (nα)
Johannes Schoißengeier (1984)
Acta Arithmetica
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Displaying similar documents to “On power series with only finitely many coefficients(mod 1): Solution of a problem of Pisot and Salem”
On the discrepancy of (nα)
On the a.e. Divergence of the arithmetic means of double orthogonal series
F. Móricz, K. Tandori (1985)
Studia Mathematica
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On the strong Cesàro summability of double orthogonal series
I. Szalay (1988)
Studia Mathematica
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On the one-sided boundedness of discrepancy function of the sequence {nα}
Y. Dupain, Vera Sós (1980)
Acta Arithmetica
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Some integral matrix equations
Hodges, John H. (1964)
Portugaliae mathematica
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On the (C,α≥0,β≥0)-summability of double orthogonal series
F. Móricz (1985)
Studia Mathematica
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On equations with rotations
D. Przeworska-Rolewicz (1970)
Studia Mathematica
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The value-distribution of lacunary series and a conjecture of Paley
Takafumi Murai (1981)
Annales de l'institut Fourier
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The purpose of this paper is to establish a theorem which answers a conjecture of Paley on the distribution of values of Hadamard lacunary series and which is useful to study the Peano curve property of such series.
On higher differences. Nota II
S. C. Chakrabarti (1954)
Rendiconti del Seminario Matematico della Università di Padova
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On normal lattice configurations and simultaneously normal numbers
Mordechay B. Levin (2001)
Journal de théorie des nombres de Bordeaux
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Let be integers, and let be a sequence of real numbers. In this paper we prove that the lower bound of the discrepancy of the double sequence coincides (up to a logarithmic factor) with the lower bound of the discrepancy of ordinary sequences in -dimensional unit cube . We also find a lower bound of the discrepancy (up to a logarithmic factor) of the sequence (Korobov’s problem).