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Quantitative bounds in the polynomial Szemerédi theorem: The homogeneous case

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Quantitative bounds in the polynomial Szemerédi theorem: The homogeneous case. / Prendiville, Sean.
In: Discrete Analysis, Vol. 2017, No. 5, 21.12.2017, p. 1-34.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Prendiville, S 2017, 'Quantitative bounds in the polynomial Szemerédi theorem: The homogeneous case', Discrete Analysis, vol. 2017, no. 5, pp. 1-34. https://doi.org/10.19086/da.1282

APA

Prendiville, S. (2017). Quantitative bounds in the polynomial Szemerédi theorem: The homogeneous case. Discrete Analysis, 2017(5), 1-34. https://doi.org/10.19086/da.1282

Vancouver

Prendiville S. Quantitative bounds in the polynomial Szemerédi theorem: The homogeneous case. Discrete Analysis. 2017 Dec 21;2017(5):1-34. doi: 10.19086/da.1282

Author

Prendiville, Sean. / Quantitative bounds in the polynomial Szemerédi theorem : The homogeneous case. In: Discrete Analysis. 2017 ; Vol. 2017, No. 5. pp. 1-34.

Bibtex

@article{8e953d5fddc9444cbd6f0f828327e58d,
title = "Quantitative bounds in the polynomial Szemer{\'e}di theorem: The homogeneous case",
abstract = "We obtain quantitative bounds in the polynomial Szemer{\'e}di theorem of Bergelson and Leibman, provided the polynomials are homogeneous and of the same degree. Such configurations include arithmetic progressions with common difference equal to a perfect kth power.",
keywords = "Bergelson-Leibman theorem, Density bounds, Gowers norms, Polynomial Szemer{\'e}di",
author = "Sean Prendiville",
year = "2017",
month = dec,
day = "21",
doi = "10.19086/da.1282",
language = "English",
volume = "2017",
pages = "1--34",
journal = "Discrete Analysis",
issn = "2397-3129",
publisher = "Alliance of Diamond Open Access Journals",
number = "5",

}

RIS

TY - JOUR

T1 - Quantitative bounds in the polynomial Szemerédi theorem

T2 - The homogeneous case

AU - Prendiville, Sean

PY - 2017/12/21

Y1 - 2017/12/21

N2 - We obtain quantitative bounds in the polynomial Szemerédi theorem of Bergelson and Leibman, provided the polynomials are homogeneous and of the same degree. Such configurations include arithmetic progressions with common difference equal to a perfect kth power.

AB - We obtain quantitative bounds in the polynomial Szemerédi theorem of Bergelson and Leibman, provided the polynomials are homogeneous and of the same degree. Such configurations include arithmetic progressions with common difference equal to a perfect kth power.

KW - Bergelson-Leibman theorem

KW - Density bounds

KW - Gowers norms

KW - Polynomial Szemerédi

U2 - 10.19086/da.1282

DO - 10.19086/da.1282

M3 - Journal article

AN - SCOPUS:85049632233

VL - 2017

SP - 1

EP - 34

JO - Discrete Analysis

JF - Discrete Analysis

SN - 2397-3129

IS - 5

ER -