Concepedia

Freiman's Theorem

Freiman's Theorem is a foundational result in additive combinatorics that characterizes the structure of finite sets of integers with small sumset by asserting that such sets are contained in generalized arithmetic progressions of bounded dimension and size linearly commensurate with the original set.

53

Publications

2.9K

Citations

52

Authors

49

Institutions

Publications per year

2017–2026

4

Parents

Publications

53

Additive number theory: inverse problems and the geometry of sumsets

Choice Reviews Online · 1997 · 441 citations

, , +9

Inverse Littlewood–Offord theorems and the condition number of random discrete matrices

Terence Tao, Van Vu · Annals of Mathematics · 2009 · 222 citations · Full text

, , +13

A polynomial bound in Freiman's theorem

Mei-Chu Chang · Duke Mathematical Journal · 2002 · 214 citations

, , +6

Product set estimates for non-commutative groups

Terence Tao · COMBINATORICA · 2008 · 214 citations

, , +13

Freiman's theorem in an arbitrary abelian group

Ben Green, Imre Z. Ruzsa · Journal of the London Mathematical Society · 2007 · 182 citations

, , +9

1–5 of 53

Authors

52

  1. TT
    Terence Tao

    University of California, Los Angeles, United States

    10 publications · 709 citations

    10

    h-index

  2. BG
    Ben Green

    University of California, Los Angeles, United States

    8 publications · 383 citations

    8

    h-index

  3. IZ
    Imre Z. Ruzsa

    Hungarian Academy of Sciences, Hungary

    3 publications · 276 citations

    3

    h-index

  4. SL
    Shachar Lovett

    University of California San Diego, United States

    3 publications · 55 citations

    3

    h-index

  5. MC
    Mei-Chu Chang

    University of California, Riverside, United States

    3 publications · 268 citations

    3

    h-index

1–5 of 52

Institutions

49

  1. University of California, Los Angeles

    Los Angeles, United States

    7 h-index

    7 publications

    692 citations

  2. Hungarian Academy of Sciences

    Budapest, Hungary

    4 h-index

    4 publications

    318 citations

  3. University of California San Diego

    San Diego, United States

    3 h-index

    3 publications

    77 citations

  4. University of Bristol

    Bristol, United Kingdom

    3 h-index

    3 publications

    145 citations

  5. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    3 publications

    100 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    35 citations

  7. University of California, Riverside

    Riverside, United States

    2 h-index

    2 publications

    54 citations

  8. Princeton University

    Princeton, United States

    2 h-index

    2 publications

    62 citations

1–8 of 49

Venues

  1. arXiv (Cornell University)

    Repository · 5 publications · 79 citations

    5

    h-index

  2. Combinatorics Probability Computing

    4 publications · 141 citations

    4

    h-index

  3. Acta Arithmetica

    3 publications · 185 citations

    3

    h-index

  4. Duke Mathematical Journal

    DMJ · 3 publications · 315 citations

    3

    h-index

  5. ArXiv.org

    Repository · 2 publications · 39 citations

    2

    h-index

1–5