Concepedia

Additive Basis

An Additive Basis is a subset of the natural numbers such that every sufficiently large natural number can be expressed as a sum of at most a fixed number of elements from the subset, characterizing its additive spanning property in number-theoretic contexts.

36

Publications

1.1K

Citations

56

Authors

45

Institutions

Publications per year

2017–2026

2

Parents

Publications

36

Additive number theory: the classical bases

Choice Reviews Online · 1997 · 204 citations

, , +14

Additive representations on rank-ordered sets

Peter P. Wakker · Journal of Mathematical Economics · 1993 · 98 citations · Full text

, , +8

Equational Elements in Additive Algebras

Symeon Bozapalidis · Theory of Computing Systems · 1999 · 74 citations

, , +10

Minimal bases and maximal nonbases in additive number theory

Melvyn B. Nathanson · Journal of Number Theory · 1974 · 56 citations

, , +11

Additive representations on rank-ordered sets. I. The algebraic approach

Peter P. Wakker · Journal of Mathematical Psychology · 1991 · 49 citations · Full text

, , +11

1–5 of 36

Authors

56

  1. MB
    Melvyn B. Nathanson

    Lehman College, United States

    4 publications · 111 citations

    4

    h-index

  2. PP
    Peter P. Wakker

    Erasmus University Rotterdam, Netherlands

    3 publications · 161 citations

    3

    h-index

  3. MB
    Mats Björklund

    Uppsala University, Sweden

    2 publications · 51 citations

    2

    h-index

  4. IZ
    Imre Z. Ruzsa

    Hungarian Academy of Sciences, Hungary

    2 publications · 47 citations

    2

    h-index

  5. XJ
    Xing‐De Jia

    Texas State University, United States

    1 publications · 10 citations

    1

    h-index

1–5 of 56

Institutions

45

  1. Hungarian Academy of Sciences

    Budapest, Hungary

    3 h-index

    5 publications

    101 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    4 publications

    130 citations

  3. Lehman College

    New York, United States

    2 h-index

    2 publications

    26 citations

  4. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    2 h-index

    2 publications

    25 citations

  5. Radboud University Nijmegen

    Nijmegen, The Netherlands

    2 h-index

    2 publications

    147 citations

  6. Uppsala University

    Uppsala, Sweden

    2 h-index

    5 publications

    200 citations

  7. City University of New York

    New York, United States

    2 h-index

    2 publications

    23 citations

  8. Chimie et Interdisciplinarité, Synthèse, Analyse, Modélisation

    Nantes, France

    1 h-index

    2 publications

    62 citations

1–8 of 45

Venues

  1. Journal of Number Theory

    4 publications · 105 citations

    4

    h-index

  2. Evolution

    2 publications · 51 citations

    2

    h-index

  3. Journal of Mathematical Psychology

    2 publications · 63 citations

    2

    h-index

  4. International Journal of Number Theory

    IJNT · 1 publications · 11 citations

    1

    h-index

  5. Arrow - TU Dublin (Technological University Dublin)

    Repository · 1 publications · 12 citations

    1

    h-index

1–5