Characterization of the unique expansions 1=∑ i=1 ∞ q -n i and related problems
Erdös, Pál ; Joó, Istvá n ; Komornik, Vilmos
Bulletin de la Société Mathématique de France, Tome 118 (1990), p. 377-390 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{BSMF_1990__118_3_377_0,
     author = {Erd\"os, P\'al and Jo\'o, Istv\'an and Komornik, Vilmos},
     title = {Characterization of the unique expansions $1=\sum ^{\infty }\_{i=1}q^{-n\_ i}$ and related problems},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     volume = {118},
     year = {1990},
     pages = {377-390},
     doi = {10.24033/bsmf.2151},
     mrnumber = {91j:11006},
     zbl = {0721.11005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BSMF_1990__118_3_377_0}
}

Erdös, Pál; Joó, Istvá n; Komornik, Vilmos. Characterization of the unique expansions $1=\sum ^{\infty }_{i=1}q^{-n_ i}$ and related problems. Bulletin de la Société Mathématique de France, Tome 118 (1990) pp. 377-390. doi : 10.24033/bsmf.2151. http://gdmltest.u-ga.fr/item/BSMF_1990__118_3_377_0/

[1] Rényi (A.). - Representations for real numbers and their ergodic properties, Acta Math. Hungar., t. 8, 1957, p. 477-493. | MR 20 #3843 | Zbl 0079.08901

[2] Parry (W.). - On the β-expansions of real numbers, Acta Math. Hungar., t. 11, 1960, p. 401-416. | MR 26 #288 | Zbl 0099.28103

[3] Bertrand (A.). - Développements en base de Pisot et répartition modulo 1 de la suite ({x΋n}), Thèse de 3ème cycle, Université de Bordeaux I, n° 1595, 1981.

[4] Erdös (P.) and Joó (I.). - On the expansions 1 = Σq-ni, 1 < q < 2, to appear.

[5] Erdös (P.), Horváth (M.) and Joó (I.). - On the uniqueness of the expansions 1 = Σq-ni, to appear.

[6] Joó (I.). - On the distribution of the set {ΣNi=1 εiqi : εi = 0,1}, to appear. | Zbl 0766.11005

[7] Joó (I.) and Joó (M.). - On an arithmetical property of √2, to appear.

[8] Bogmér (A.), Horváth (M.) and Sövegjártó (A.). - On some problems of I. JOÓ, to appear.

[9] Rauzy (G.). - Sur les développements en base non entière, [Colloque de Théorie des nombres, Alger], 21-23 octobre 1989, to appear.