Concepedia

Arithmetic Removal Lemma

The Arithmetic Removal Lemma is a foundational result in additive combinatorics that belongs to the class of removal lemmas, distinguished by its assertion that for any finite abelian group and any subset free of nontrivial arithmetic progressions of a given length, a small number of element removals suffices to eliminate all such progressions.

10

Publications

346

Citations

17

Authors

14

Institutions

Publications per year

2017–2026

4

Parents

Publications

10

Bounds for graph regularity and removal lemmas

David Conlon, Jacob Fox · Geometric and Functional Analysis · 2012 · 96 citations

, , +10

A combinatorial proof of the Removal Lemma for Groups

Daniel Král͏̌, Oriol Serra, Lluís Vena · Journal of Combinatorial Theory Series A · 2009 · 79 citations

, , +8

A removal lemma for systems of linear equations over finite fields

Daniel Král͏̌, Oriol Serra, Lluís Vena · Israel Journal of Mathematics · 2011 · 56 citations · Full text

, , +10

A tight bound for Green's arithmetic triangle removal lemma in vector spaces

Jacob Fox, László Lovász · Advances in Mathematics · 2017 · 24 citations

, , +9

The symmetry preserving removal lemma

Balázs Szegedy · Proceedings of the American Mathematical Society · 2009 · 21 citations · Full text

, , +13

1–5 of 10

Authors

17

  1. OS
    Oriol Serra

    Universitat Politècnica de Catalunya, Spain

    3 publications · 156 citations

    3

    h-index

  2. JF
    Jacob Fox

    Massachusetts Institute of Technology, United States

    3 publications · 134 citations

    3

    h-index

  3. DK
    Daniel Král͏̌

    Charles University, Czechia

    3 publications · 156 citations

    3

    h-index

  4. LV
    Lluís Vena

    Universitat Politècnica de Catalunya, Spain

    3 publications · 156 citations

    3

    h-index

  5. JB
    József Balogh

    University of Illinois Urbana-Champaign, United States

    1 publications · 12 citations

    1

    h-index

1–5 of 17

Institutions

14

  1. Charles University

    Prague, Czechia

    3 h-index

    3 publications

    156 citations

  2. Universitat Politècnica de Catalunya

    Barcelona, Spain

    3 h-index

    5 publications

    291 citations

  3. University of Toronto

    Toronto, Canada

    2 h-index

    2 publications

    42 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    38 citations

  5. Stanford University

    Stanford, United States

    2 h-index

    2 publications

    38 citations

  6. University of Warwick

    Coventry, United Kingdom

    1 h-index

    2 publications

    24 citations

  7. Princeton University

    Princeton, United States

    1 h-index

    1 publications

    10 citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    1 h-index

    1 publications

    12 citations

1–8 of 14

Venues

  1. Geometric and Functional Analysis

    GAFA · 1 publications · 96 citations

    1

    h-index

  2. arXiv (Cornell University)

    Repository · 1 publications · 10 citations

    1

    h-index

  3. Israel Journal of Mathematics

    1 publications · 56 citations

    1

    h-index

  4. European Journal of Combinatorics

    1 publications · 21 citations

    1

    h-index

  5. Journal of Combinatorial Theory Series A

    1 publications · 79 citations

    1

    h-index

1–5