[Translatés de l'ensemble des nombres premiers, théorème de Szemerédi multidimensionnel et théorème de Van der Waerden polynomial multidimensionnel]
Nous présentons de nouveaux résultats du type Szemerédi multidimensionnel et Van der Waerden polynomial multidimensionnel le long des ensembles et .
In this short note we establish new refinements of multidimensional Szemerédi and polynomial Van der Waerden theorems along the shifted primes.
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@article{CRMATH_2011__349_3-4_123_0,
author = {Bergelson, Vitaly and Leibman, Alexander and Ziegler, Tamar},
title = {The shifted primes and the multidimensional {Szemer\'edi} and polynomial {Van} der {Waerden} theorems},
journal = {Comptes Rendus. Math\'ematique},
pages = {123--125},
publisher = {Elsevier},
volume = {349},
number = {3-4},
year = {2011},
doi = {10.1016/j.crma.2010.11.028},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.11.028/}
}
TY - JOUR AU - Bergelson, Vitaly AU - Leibman, Alexander AU - Ziegler, Tamar TI - The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems JO - Comptes Rendus. Mathématique PY - 2011 SP - 123 EP - 125 VL - 349 IS - 3-4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.11.028/ DO - 10.1016/j.crma.2010.11.028 LA - en ID - CRMATH_2011__349_3-4_123_0 ER -
%0 Journal Article %A Bergelson, Vitaly %A Leibman, Alexander %A Ziegler, Tamar %T The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems %J Comptes Rendus. Mathématique %D 2011 %P 123-125 %V 349 %N 3-4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.11.028/ %R 10.1016/j.crma.2010.11.028 %G en %F CRMATH_2011__349_3-4_123_0
Bergelson, Vitaly; Leibman, Alexander; Ziegler, Tamar. The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems. Comptes Rendus. Mathématique, Tome 349 (2011) no. 3-4, pp. 123-125. doi : 10.1016/j.crma.2010.11.028. http://www.numdam.org/articles/10.1016/j.crma.2010.11.028/
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☆ The first and the third authors are supported by BSF grant No. 2006094. The first and the second authors are supported by NSF grant DMS-0901106.
