Concepedia

Delange Theorem

Delange Theorem is a fundamental result in the analytic theory of arithmetic functions that characterizes the asymptotic behavior of the mean values of multiplicative functions taking complex values, specifically establishing necessary and sufficient conditions for the convergence of their logarithmic means in terms of the convergence of associated series involving their values at prime powers.

11

Publications

947

Citations

15

Authors

12

Institutions

Publications per year

2017–2026

3

Parents

Publications

11

Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry<sup>a</sup>

Richard P. Stanley · Annals of the New York Academy of Sciences · 1989 · 644 citations

, , +10

Recent progress in analytic number theory

H. Halberstam, C. Hooley · 1981 · 125 citations

, , +12

Contributions to the theory of transcendental numbers (I)

K. Ramachandra · Acta Arithmetica · 1968 · 42 citations · Full text

, , +9

An auxiliary result in the theory of transcendental numbers

R. Tijdeman · Journal of Number Theory · 1973 · 33 citations

, , +12

A new proof of a theorem of Delange

A. Rényi · Publicationes Mathematicae Debrecen · 2022 · 19 citations · Full text

, , +3

1–5 of 11

Authors

15

  1. ZC
    Zhen Cui

    Institute of Rock and Soil Mechanics, China

    2 publications · 30 citations

    2

    h-index

  2. VB
    Vitaly Bergelson

    The Ohio State University, United States

    1 publications · 17 citations

    1

    h-index

  3. JW
    Jie Wu

    Institut Élie Cartan de Lorraine, France

    1 publications · 16 citations

    1

    h-index

  4. RT
    R. Tijdeman

    Leiden University, Netherlands

    1 publications · 33 citations

    1

    h-index

  5. JW
    Jie Wu

    Centre National de la Recherche Scientifique, France

    1 publications · 14 citations

    1

    h-index

1–5 of 15

Institutions

12

  1. Shanghai Jiao Tong University

    Shanghai, China

    2 h-index

    2 publications

    30 citations

  2. Université de Lorraine

    Nancy, France

    2 h-index

    2 publications

    30 citations

  3. Shandong University

    Jinan, China

    2 h-index

    2 publications

    30 citations

  4. Institut Élie Cartan de Lorraine

    Vandœuvre-lès-Nancy, France

    2 h-index

    2 publications

    30 citations

  5. Institute for Advanced Study

    Princeton, United States

    1 h-index

    1 publications

    33 citations

  6. Yangtze Normal University

    Fuling, China

    1 h-index

    1 publications

    14 citations

  7. The Ohio State University

    Columbus, United States

    1 h-index

    1 publications

    17 citations

  8. Massachusetts Institute of Technology

    Cambridge, United States

    1 h-index

    1 publications

    644 citations

1–8 of 12

Venues

  1. Acta Arithmetica

    3 publications · 68 citations

    3

    h-index

  2. Science China Mathematics

    1 publications · 14 citations

    1

    h-index

  3. Journal of Number Theory

    1 publications · 33 citations

    1

    h-index

  4. 1

    h-index

  5. Bulletin of the London Mathematical Society

    1 publications · 12 citations

    1

    h-index

1–5