Concepedia

Von Mangoldt Function

The Von Mangoldt Function is an arithmetic function that assigns to each positive integer n the natural logarithm of the prime p if n is a power of p, and zero otherwise.

26

Publications

891

Citations

35

Authors

33

Institutions

Publications per year

2017–2026

6

Variants

Mangoldt Function

Parents

Publications

26

Prime Numbers in Short Intervals and a Generalized Vaughan Identity

D. R. Heath‐Brown · Canadian Journal of Mathematics · 1982 · 198 citations · Full text

, , +9

The Polynomial X 2 + Y 4 Captures Its Primes

John Friedlander, Henryk Iwaniec · Annals of Mathematics · 1998 · 119 citations

, , +9

Prime numbers along Rudin–Shapiro sequences

Christian Mauduit, Joël Rivat · Journal of the European Mathematical Society · 2015 · 60 citations · Full text

, , +10

On the distribution of the zeros of the Riemann zeta function in short intervals

Akio Fujii · Bulletin of the American Mathematical Society · 1975 · 54 citations · Full text

, , +8

Ramanujan sums for signal processing of low-frequency noise

Michel Planat, H. C. Rosu, Serge Perrine · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2002 · 52 citations · Full text

, , +16

1–5 of 26

Authors

35

  1. JF
    John Friedlander

    University of Toronto, Canada

    3 publications · 158 citations

    3

    h-index

  2. MR
    Maksym Radziwiłł

    University of Turku, Finland

    2 publications · 48 citations

    2

    h-index

  3. MP
    Michel Planat

    Centre National de la Recherche Scientifique, France

    2 publications · 95 citations

    2

    h-index

  4. HI
    Henryk Iwaniec

    Rutgers, The State University of New Jersey, United States

    2 publications · 131 citations

    2

    h-index

  5. AF
    Akio Fujii

    Rikkyo University, Japan

    2 publications · 64 citations

    2

    h-index

1–5 of 35

Institutions

33

  1. University of Toronto

    Toronto, Canada

    3 h-index

    3 publications

    158 citations

  2. McGill University

    Montreal, Canada

    2 h-index

    2 publications

    50 citations

  3. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    2 publications

    42 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    4 publications

    181 citations

  5. University of Turku

    Turku, Finland

    2 h-index

    2 publications

    42 citations

  6. University of Rome Tor Vergata

    Rome, Italy

    1 h-index

    1 publications

    27 citations

  7. University of Toyama

    Toyama, Japan

    1 h-index

    1 publications

    21 citations

  8. Oxford University Press (United Kingdom)

    Oxford, United Kingdom

    1 h-index

    1 publications

    15 citations

1–8 of 33

Venues

  1. Mathematics of Computation

    MCOM · 1 publications · 11 citations

    1

    h-index

  2. Journal of the London Mathematical Society

    1 publications · 13 citations

    1

    h-index

  3. Bulletin of the American Mathematical Society

    1 publications · 54 citations

    1

    h-index

  4. Periodica Mathematica Hungarica

    1 publications · 25 citations

    1

    h-index

  5. Tsukuba Journal of Mathematics

    1 publications · 18 citations

    1

    h-index

1–5