Concepedia

Divisor Function

The Divisor Function is an arithmetic function that assigns to each positive integer the sum of the k-th powers of its positive divisors, distinguished from other arithmetic functions by its specific dependence on divisor summation exponentiated by a fixed integer parameter.

201

Publications

5.2K

Citations

259

Authors

193

Institutions

Publications per year

2017–2026

32

Variants

Sigma FunctionSum-of-divisors Function

Parents

Publications

201

Divisors on general curves and cuspidal rational curves

David Eisenbud, Joseph Harris · Inventiones mathematicae · 1983 · 212 citations

, , +10

Arithmetical functions associated with the unitary divisors of an integer

Eckford Cohen · Mathematische Zeitschrift · 1960 · 137 citations

, , +10

Note on a new number theory function

R. D. Carmichael · Bulletin of the American Mathematical Society · 1910 · 131 citations · Full text

, , +11

Incomplete Kloosterman Sums and a Divisor Problem

John Friedlander, Henryk Iwaniec · Annals of Mathematics · 1985 · 104 citations

, , +10

Some q-series identities related to divisor functions

Karl Dilcher · Discrete Mathematics · 1995 · 75 citations

, , +9

1–5 of 201

Authors

259

  1. DK
    Daeyeoul Kim

    National Institute for Mathematical Sciences, South Korea

    6 publications · 78 citations

    6

    h-index

  2. LT
    László Tóth

    University of Pecs, Hungary

    5 publications · 113 citations

    5

    h-index

  3. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    5 publications · 76 citations

    5

    h-index

  4. AZ
    Alexandru Zaharescu

    University of Illinois Urbana-Champaign, United States

    4 publications · 83 citations

    4

    h-index

  5. BC
    Bruce C. Berndt

    University of Illinois Urbana-Champaign, United States

    4 publications · 83 citations

    4

    h-index

1–5 of 259

Institutions

193

  1. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    7 publications

    104 citations

  2. University of Illinois Urbana-Champaign

    Urbana, United States

    6 h-index

    6 publications

    126 citations

  3. University of California, Los Angeles

    Los Angeles, United States

    6 h-index

    6 publications

    120 citations

  4. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    5 h-index

    5 publications

    105 citations

  5. Tel Aviv University

    Tel Aviv, Israel

    4 h-index

    4 publications

    110 citations

  6. Tata Institute of Fundamental Research

    Mumbai, India

    4 h-index

    4 publications

    83 citations

  7. Romanian Academy

    Bucharest, Romania

    4 h-index

    4 publications

    83 citations

  8. University of Turku

    Turku, Finland

    4 h-index

    4 publications

    66 citations

1–8 of 193

Venues

  1. Acta Arithmetica

    18 publications · 397 citations

    13

    h-index

  2. Journal of Number Theory

    15 publications · 248 citations

    12

    h-index

  3. Pacific Journal of Mathematics

    8 publications · 212 citations

    8

    h-index

  4. Proceedings of the London Mathematical Society

    6 publications · 263 citations

    6

    h-index

  5. Journal of the London Mathematical Society

    6 publications · 167 citations

    6

    h-index

1–5