Concepedia

Sum Of Divisors Function

The Sum of Divisors Function is an arithmetic function that maps a positive integer to the sum of all its positive divisors, distinguishing it from other arithmetic functions by specifically aggregating the divisors of an integer rather than counting them or performing alternate operations.

60

Publications

1.6K

Citations

75

Authors

68

Institutions

Publications per year

2017–2026

9

Variants

Divisor FunctionSigma Function

Parents

Publications

60

Arithmetical functions associated with the unitary divisors of an integer

Eckford Cohen · Mathematische Zeitschrift · 1960 · 137 citations

, , +10

Some q-series identities related to divisor functions

Karl Dilcher · Discrete Mathematics · 1995 · 75 citations

, , +9

Abstract theory of inversion of finite series

Louis Weisner · Transactions of the American Mathematical Society · 1935 · 69 citations

, , +8

Sums of Distinct Divisors

B. M. Stewart · American Journal of Mathematics · 1954 · 61 citations

, , +6

Abundant Numbers and the Riemann Hypothesis

Keith Briggs · Experimental Mathematics · 2006 · 59 citations

, , +9

1–5 of 60

Authors

75

  1. AZ
    Alexandru Zaharescu

    University of Illinois Urbana-Champaign, United States

    3 publications · 59 citations

    3

    h-index

  2. BC
    Bruce C. Berndt

    University of Illinois Urbana-Champaign, United States

    3 publications · 59 citations

    3

    h-index

  3. CP
    Carl Pomerance

    University of Georgia, United States

    3 publications · 70 citations

    3

    h-index

  4. GL
    Gary L. Miller

    Carnegie Mellon University, United States

    2 publications · 39 citations

    2

    h-index

  5. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    2 publications · 35 citations

    2

    h-index

1–5 of 75

Institutions

68

  1. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    4 publications

    73 citations

  2. Romanian Academy

    Bucharest, Romania

    3 h-index

    3 publications

    59 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    42 citations

  4. Czech Academy of Sciences, Institute of Mathematics

    Prague, Czechia

    2 h-index

    2 publications

    36 citations

  5. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    2 publications

    55 citations

  6. Shandong University

    Jinan, China

    2 h-index

    2 publications

    34 citations

  7. University of Waikato

    Hamilton, New Zealand

    2 h-index

    2 publications

    46 citations

  8. The Ohio State University

    Columbus, United States

    2 h-index

    2 publications

    35 citations

1–8 of 68

Venues

  1. Journal of Number Theory

    5 publications · 110 citations

    5

    h-index

  2. Acta Arithmetica

    4 publications · 109 citations

    4

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 3 publications · 110 citations

    3

    h-index

  4. Pacific Journal of Mathematics

    3 publications · 102 citations

    3

    h-index

  5. The Ramanujan Journal

    3 publications · 38 citations

    3

    h-index

1–5