Concepedia

Representation Functions

Representation Function is a mathematical function in Additive Number Theory that counts the number of ways an integer can be expressed as a sum of elements from a specified set of integers, distinguished by its role in quantifying additive representations.

61

Publications

1.6K

Citations

92

Authors

66

Institutions

Publications per year

2017–2026

11

Parents

Publications

61

Computation, individuation, and the received view on representation

Mark Sprevak · Studies in History and Philosophy of Science Part A · 2010 · 146 citations · Full text

, , +10

On the Parity of Additive Representation Functions

Jean-Louis Nicolas, Imre Z. Ruzsa, Andràs Sárközy · Journal of Number Theory · 1998 · 71 citations

, , +8

Reconstructing Integer Sets From Their Representation Functions

Vsevolod F. Lev · The Electronic Journal of Combinatorics · 2004 · 66 citations · Full text

, , +11

Partitions of the set of natural numbers and their representation functions

Min Tang · Discrete Mathematics · 2007 · 61 citations

, , +14

Few-Shot Learning via Learning the Representation, Provably

Simon S. Du, Wei Hu, Sham M. Kakade et al. · arXiv (Cornell University) · 2020 · 56 citations · Full text

, , +13

1–5 of 61

Authors

92

  1. MT
    Min Tang

    Anhui Normal University, China

    8 publications · 227 citations

    8

    h-index

  2. YC
    Yong-Gao Chen

    Nanjing Normal University, China

    5 publications · 123 citations

    5

    h-index

  3. MB
    Melvyn B. Nathanson

    Lehman College, United States

    3 publications · 57 citations

    3

    h-index

  4. SC
    Shiqiang Chen

    Chinese Academy of Sciences, China

    2 publications · 30 citations

    2

    h-index

  5. LM
    Lilian Matthiesen

    KTH Royal Institute of Technology, Sweden

    2 publications · 20 citations

    2

    h-index

1–5 of 92

Institutions

66

  1. Anhui Normal University

    Wuhu, China

    7 h-index

    10 publications

    242 citations

  2. Nanjing Normal University

    Nanjing, China

    5 h-index

    7 publications

    161 citations

  3. Princeton University

    Princeton, United States

    3 h-index

    5 publications

    209 citations

  4. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    2 publications

    87 citations

  5. Lehman College

    New York, United States

    2 h-index

    2 publications

    28 citations

  6. Eötvös Loránd University

    Budapest, Hungary

    2 h-index

    2 publications

    87 citations

  7. Universidad Autónoma de Madrid

    Madrid, Spain

    2 h-index

    2 publications

    26 citations

  8. University of Chicago

    Chicago, United States

    2 h-index

    3 publications

    39 citations

1–8 of 66

Venues

  1. Journal of Number Theory

    4 publications · 162 citations

    4

    h-index

  2. arXiv (Cornell University)

    Repository · 4 publications · 137 citations

    4

    h-index

  3. Journal of Mathematical Physics

    4 publications · 77 citations

    4

    h-index

  4. European Journal of Combinatorics

    2 publications · 27 citations

    2

    h-index

  5. Acta Arithmetica

    2 publications · 22 citations

    2

    h-index

1–5