The value-distribution of lacunary series and a conjecture of Paley
Annales de l'Institut Fourier, Tome 31 (1981) no. 1, pp. 135-156.

Le but de cet article est d’établir un théorème qui répond à une conjecture de Paley sur la distribution des valeurs des séries lacunaires à la Hadamard et qui est utile pour étudier la propriété de courbe de Peano de telles séries.

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.

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Murai, Takafumi. The value-distribution of lacunary series and a conjecture of Paley. Annales de l'Institut Fourier, Tome 31 (1981) no. 1, pp. 135-156. doi : 10.5802/aif.820. http://archive.numdam.org/articles/10.5802/aif.820/

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