Concepedia

Sumset Estimates

Sumset Estimates is a theoretical framework in additive combinatorics that quantifies the growth and structure of the sumset of two finite sets in an abelian group, distinguished by its reliance on inequalities relating the cardinality of the sumset to the additive energy and structural properties of the underlying sets.

86

Publications

3.2K

Citations

91

Authors

75

Institutions

Publications per year

2017–2026

5

Parents

Publications

86

EXPLICIT CONSTRUCTIONS OF RIP MATRICES AND RELATED PROBLEMS

Scholar Commons (University of South Carolina) · 2010 · 231 citations

, , +11

Product set estimates for non-commutative groups

Terence Tao · COMBINATORICA · 2008 · 214 citations

, , +13

Generalized arithmetical progressions and sumsets

Imre Z. Ruzsa · Acta Mathematica Academiae Scientiarum Hungaricae · 1994 · 195 citations

, , +10

Explicit constructions of RIP matrices and related problems

Duke Mathematical Journal · 2011 · 177 citations · Full text

, , +11

Bounding multiplicative energy by the sumset

József Solymosi · Advances in Mathematics · 2009 · 148 citations

, , +2

1–5 of 86

Authors

91

  1. IZ
    Imre Z. Ruzsa

    Hungarian Academy of Sciences, Hungary

    7 publications · 334 citations

    7

    h-index

  2. ID
    Ilya D. Shkredov

    Steklov Mathematical Institute, Russia

    6 publications · 185 citations

    6

    h-index

  3. SE
    Shalom Eliahou

    Université du littoral côte d'opale, France

    6 publications · 133 citations

    6

    h-index

  4. MK
    Michel Kervaire

    University of Geneva, Switzerland

    6 publications · 133 citations

    6

    h-index

  5. TT
    Terence Tao

    University of California, Los Angeles, United States

    6 publications · 389 citations

    6

    h-index

1–5 of 91

Institutions

75

  1. Université du littoral côte d'opale

    Dunkirk, France

    6 h-index

    6 publications

    133 citations

  2. University of Geneva

    Geneva, Switzerland

    6 h-index

    6 publications

    133 citations

  3. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    6 h-index

    9 publications

    203 citations

  4. Hungarian Academy of Sciences

    Budapest, Hungary

    6 h-index

    7 publications

    288 citations

  5. Steklov Mathematical Institute

    Moscow, Russia

    5 h-index

    5 publications

    300 citations

  6. University of Cambridge

    Cambridge, United Kingdom

    4 h-index

    4 publications

    113 citations

  7. Tel Aviv University

    Tel Aviv, Israel

    4 h-index

    5 publications

    95 citations

  8. University of California San Diego

    San Diego, United States

    3 h-index

    3 publications

    98 citations

1–8 of 75

Venues

  1. Journal of Number Theory

    10 publications · 234 citations

    10

    h-index

  2. arXiv (Cornell University)

    Repository · 8 publications · 179 citations

    8

    h-index

  3. COMBINATORICA

    7 publications · 478 citations

    7

    h-index

  4. Acta Arithmetica

    5 publications · 74 citations

    4

    h-index

  5. Advances in Mathematics

    3 publications · 272 citations

    3

    h-index

1–5