Comptes Rendus
no. 8
Probability theory
The central limit theorem for complex Riesz–Raikov sums
[Le théorème limite central pour des sommes de Riesz–Raikov complexes]

Présenté par : the Editorial Board

Katusi Fukuyama1 ; Noriyuki Kuri1
1 Department of Mathematics, Kobe University, Rokko, Kobe, 657-8501, Japan
Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 749-753.

Nous démontrons un théorème limite central pour les sommes de Riesz–Raikov complexes. En application de nos méthodes, nous établissons aussi des résultats de discrépance pour les progressions géométriques complexes.

For complex Riesz–Raikov sums, the central limit theorem is proved. As a byproduct, metric discrepancy results are proved for complex geometric progressions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.04.020
Katusi Fukuyama 1 ; Noriyuki Kuri 1

1 Department of Mathematics, Kobe University, Rokko, Kobe, 657-8501, Japan 
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Katusi Fukuyama; Noriyuki Kuri. The central limit theorem for complex Riesz–Raikov sums. Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 749-753. doi : 10.1016/j.crma.2015.04.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.04.020/

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