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Comptes Rendus Mathématique
Volume 353, n° 8
pages 749-753 (août 2015)
Doi : 10.1016/j.crma.2015.04.020
Received : 14 Mars 2015 ;  accepted : 29 April 2015
The central limit theorem for complex Riesz–Raikov sums
Le théorème limite central pour des sommes de Riesz–Raikov complexes
 

Katusi Fukuyama , Noriyuki Kuri
 Department of Mathematics, Kobe University, Rokko, Kobe, 657-8501, Japan 

Abstract

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

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Résumé

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.

The full text of this article is available in PDF format.


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