Translatés de l'ensemble des nombres premiers, théorème de Szemerédi multidimensionnel et théorème de Van der Waerden polynomial multidimensionnel

Vitaly Bergelson; Alexander Leibman; Tamar Ziegler

doi:10.1016/j.crma.2010.11.028

Translatés de l'ensemble des nombres premiers, théorème de Szemerédi multidimensionnel et théorème de Van der Waerden polynomial multidimensionnel

Translated title of the contribution: The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems

Vitaly Bergelson^*, Alexander Leibman, Tamar Ziegler

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this short note we establish new refinements of multidimensional Szemerédi and polynomial Van der Waerden theorems along the shifted primes.

Translated title of the contribution	The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems
Original language	French
Pages (from-to)	123-125
Number of pages	3
Journal	Comptes Rendus Mathematique
Volume	349
Issue number	3-4
DOIs	https://doi.org/10.1016/j.crma.2010.11.028
State	Published - Feb 2011
Externally published	Yes

Bibliographical note

Funding Information:
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. E-mail addresses: vitaly@math.ohio-state.edu (V. Bergelson), leibman@math.ohio-state.edu (A. Leibman), tamarzr@tx.technion.ac.il (T. Ziegler).

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10.1016/j.crma.2010.11.028

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title = "Translat{\'e}s de l'ensemble des nombres premiers, th{\'e}or{\`e}me de Szemer{\'e}di multidimensionnel et th{\'e}or{\`e}me de Van der Waerden polynomial multidimensionnel",

abstract = "In this short note we establish new refinements of multidimensional Szemer{\'e}di and polynomial Van der Waerden theorems along the shifted primes.",

author = "Vitaly Bergelson and Alexander Leibman and Tamar Ziegler",

note = "Funding Information: 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. E-mail addresses: vitaly@math.ohio-state.edu (V. Bergelson), leibman@math.ohio-state.edu (A. Leibman), tamarzr@tx.technion.ac.il (T. Ziegler).",

year = "2011",

month = feb,

doi = "10.1016/j.crma.2010.11.028",

language = "צרפתית",

volume = "349",

pages = "123--125",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "3-4",

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AU - Bergelson, Vitaly

AU - Leibman, Alexander

AU - Ziegler, Tamar

N1 - Funding Information: 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. E-mail addresses: vitaly@math.ohio-state.edu (V. Bergelson), leibman@math.ohio-state.edu (A. Leibman), tamarzr@tx.technion.ac.il (T. Ziegler).

PY - 2011/2

Y1 - 2011/2

N2 - In this short note we establish new refinements of multidimensional Szemerédi and polynomial Van der Waerden theorems along the shifted primes.

AB - 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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AN - SCOPUS:79551469276

SN - 1631-073X

VL - 349

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JO - Comptes Rendus Mathematique

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IS - 3-4

ER -

Translatés de l'ensemble des nombres premiers, théorème de Szemerédi multidimensionnel et théorème de Van der Waerden polynomial multidimensionnel

Abstract

Bibliographical note

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