Concepedia

Dirichlet Convolution

Dirichlet Convolution is a binary operation on arithmetic functions defined as the convolution sum over the divisors of a positive integer, distinguishing it from other operations by its multiplicative structure and its role in the algebraic theory of arithmetic functions.

26

Publications

545

Citations

40

Authors

34

Institutions

Publications per year

2017–2026

2

Variants

Dirichlet Product

Parents

Publications

26

The spectral decomposition of shifted convolution sums

Valentin Blomer, Gergely Harcos · Duke Mathematical Journal · 2008 · 50 citations · Full text

, , +13

Hankel and Toeplitz operators on Dirichlet spaces

Zhijian Wu · Integral Equations and Operator Theory · 1992 · 36 citations

, , +9

Groups of arithmetic functions under Dirichlet convolution

Roy Ryden · Pacific Journal of Mathematics · 1973 · 34 citations · Full text

, , +8

Algebraic properties of Toeplitz operators on the Dirichlet space

Young Joo Lee · Journal of Mathematical Analysis and Applications · 2006 · 30 citations

, , +12

Note on absolutely convergent Dirichlet series

Edwin Hewitt, John Williamson · Proceedings of the American Mathematical Society · 1957 · 28 citations · Full text

, , +8

1–5 of 26

Authors

40

  1. YJ
    Young Joo Lee

    Korea University, South Korea

    3 publications · 68 citations

    3

    h-index

  2. YT
    Yu Tao

    Zhejiang Normal University, China

    2 publications · 43 citations

    2

    h-index

  3. DS
    Donald Spector

    Hobart and William Smith Colleges, United States

    1 publications · 13 citations

    1

    h-index

  4. JI
    Ju I Manin

    1 publications · 13 citations

    1

    h-index

  5. DA
    Daniel Alpay

    Ben-Gurion University of the Negev, Israel

    1 publications · 17 citations

    1

    h-index

1–5 of 40

Institutions

34

  1. Zhejiang Normal University

    Jinhua, China

    3 h-index

    4 publications

    76 citations

  2. University of Alabama

    Tuscaloosa, United States

    2 h-index

    2 publications

    64 citations

  3. Chonnam National University

    Gwangju, South Korea

    2 h-index

    2 publications

    47 citations

  4. Utrecht University

    Utrecht, The Netherlands

    2 h-index

    2 publications

    34 citations

  5. Hungarian Academy of Sciences

    Budapest, Hungary

    1 h-index

    1 publications

    50 citations

  6. Institute of Mathematics

    Kyiv, Ukraine

    1 h-index

    2 publications

    42 citations

  7. Chapman University

    Orange, United States

    1 h-index

    1 publications

    20 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    1 h-index

    1 publications

    16 citations

1–8 of 34

Venues

  1. Integral Equations and Operator Theory

    5 publications · 120 citations

    5

    h-index

  2. 3

    h-index

  3. Pacific Journal of Mathematics

    2 publications · 52 citations

    2

    h-index

  4. Journal of Functional Analysis

    2 publications · 40 citations

    2

    h-index

  5. Physics Letters A

    1 publications · 13 citations

    1

    h-index

1–5