The value-distribution of lacunary series and a conjecture of Paley
Murai, Takafumi
Annales de l'Institut Fourier, Tome 31 (1981), p. 135-156 / Harvested from Numdam
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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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     author = {Murai, Takafumi},
     title = {The value-distribution of lacunary series and a conjecture of Paley},
     journal = {Annales de l'Institut Fourier},
     volume = {31},
     year = {1981},
     pages = {135-156},
     doi = {10.5802/aif.820},
     mrnumber = {82k:30002},
     zbl = {0437.30021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1981__31_1_135_0}
}

Murai, Takafumi. The value-distribution of lacunary series and a conjecture of Paley. Annales de l'Institut Fourier, Tome 31 (1981) pp. 135-156. doi : 10.5802/aif.820. http://gdmltest.u-ga.fr/item/AIF_1981__31_1_135_0/

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