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.

@article{AIF_1981__31_1_135_0,
     author = {Murai, Takafumi},
     title = {The value-distribution of lacunary series and a conjecture of Paley},
     journal = {Annales de l'Institut Fourier},
     pages = {135--156},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {31},
     number = {1},
     year = {1981},
     doi = {10.5802/aif.820},
     mrnumber = {82k:30002},
     zbl = {0437.30021},
     language = {en},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.820/}
}
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. https://aif.centre-mersenne.org/articles/10.5802/aif.820/

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