Comptes Rendus
no. 8
Probability theory
The central limit theorem for complex Riesz–Raikov sums

Presented by: 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.

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

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.

Received:
Accepted:
Published online:
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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