[Le théorème limite central pour des sommes de Riesz–Raikov complexes]
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.
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@article{CRMATH_2015__353_8_749_0,
author = {Fukuyama, Katusi and Kuri, Noriyuki},
title = {The central limit theorem for complex {Riesz{\textendash}Raikov} sums},
journal = {Comptes Rendus. Math\'ematique},
pages = {749--753},
publisher = {Elsevier},
volume = {353},
number = {8},
year = {2015},
doi = {10.1016/j.crma.2015.04.020},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2015.04.020/}
}
TY - JOUR AU - Fukuyama, Katusi AU - Kuri, Noriyuki TI - The central limit theorem for complex Riesz–Raikov sums JO - Comptes Rendus. Mathématique PY - 2015 SP - 749 EP - 753 VL - 353 IS - 8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2015.04.020/ DO - 10.1016/j.crma.2015.04.020 LA - en ID - CRMATH_2015__353_8_749_0 ER -
%0 Journal Article %A Fukuyama, Katusi %A Kuri, Noriyuki %T The central limit theorem for complex Riesz–Raikov sums %J Comptes Rendus. Mathématique %D 2015 %P 749-753 %V 353 %N 8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2015.04.020/ %R 10.1016/j.crma.2015.04.020 %G en %F CRMATH_2015__353_8_749_0
Fukuyama, Katusi; Kuri, Noriyuki. The central limit theorem for complex Riesz–Raikov sums. Comptes Rendus. Mathématique, Tome 353 (2015) no. 8, pp. 749-753. doi : 10.1016/j.crma.2015.04.020. http://archive.numdam.org/articles/10.1016/j.crma.2015.04.020/
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