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Displaying similar documents to “On the fractional parts of x / n and related sequences. I”

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 the asymptotic behavior of solutions of linear difference equations.

Jerzy Popenda, Ewa Schmeidel (1994)

Publicacions Matemàtiques

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In the paper sufficient conditions for the difference equation : Δxn = Σi=0 r an (i) xn+i to have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.