Concepedia

Liouville Function

The Liouville Function is an arithmetic function defined for positive integers that assigns the value of −1 raised to the number of prime factors of the integer, counted with multiplicity, distinguishing it from other number-theoretic functions by its complete additivity and role in sieve theories and the study of prime distribution.

545

Publications

26.3K

Citations

867

Authors

567

Institutions

Publications per year

2017–2026

97

Variants

Liouville's Function

Parents

Publications

545

Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results

Guy Jumarie · Computers & Mathematics with Applications · 2006 · 1.1K citations

, , +5

Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

Alexander Grigorʼyan · Bulletin of the American Mathematical Society · 1999 · 870 citations · Full text

, , +13

Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

Nicole Heymans, Igor Podlubný · Rheologica Acta · 2005 · 653 citations · Full text

, , +11

Semiclassical level spacings when regular and chaotic orbits coexist

Michael Berry, Marko Robnik · Journal of Physics A Mathematical and General · 1984 · 591 citations

, , +12

Two- and three-point functions in Liouville theory

Nuclear Physics B · 1994 · 465 citations · Full text

, , +9

1–5 of 545

Authors

867

  1. TT
    Terence Tao

    University of California, Los Angeles, United States

    5 publications · 304 citations

    5

    h-index

  2. JJ
    Juan J. Trujillo

    Universidad de La Laguna, Spain

    5 publications · 307 citations

    5

    h-index

  3. GJ
    Guy Jumarie

    Université du Québec à Montréal, Canada

    5 publications · 1.8K citations

    5

    h-index

  4. AA
    Anatoly A. Kilbas

    Belarusian State University, Belarus

    5 publications · 199 citations

    5

    h-index

  5. DC
    Dongho Chae

    Seoul National University, South Korea

    4 publications · 146 citations

    4

    h-index

1–5 of 867

Institutions

567

  1. Centre National de la Recherche Scientifique

    Paris, France

    18 h-index

    50 publications

    1.9K citations

  2. Universidad de La Laguna

    San Cristóbal de La Laguna, Spain

    8 h-index

    12 publications

    735 citations

  3. Fudan University

    Shanghai, China

    8 h-index

    10 publications

    192 citations

  4. Texas A&M University

    College Station, United States

    7 h-index

    13 publications

    741 citations

  5. Kyoto University

    Kyoto, Japan

    7 h-index

    12 publications

    396 citations

  6. Sorbonne Université

    Paris, France

    7 h-index

    12 publications

    172 citations

  7. Yeshiva University

    New York, United States

    6 h-index

    9 publications

    864 citations

  8. École Normale Supérieure - PSL

    Paris, France

    6 h-index

    11 publications

    607 citations

1–8 of 567

Venues

  1. Journal of Differential Equations

    13 publications · 661 citations

    13

    h-index

  2. Nuclear Physics B

    11 publications · 1.1K citations

    11

    h-index

  3. The Journal of Chemical Physics

    12 publications · 507 citations

    11

    h-index

  4. Journal of High Energy Physics

    JHEP · 12 publications · 756 citations

    11

    h-index

  5. arXiv (Cornell University)

    Repository · 10 publications · 191 citations

    10

    h-index

1–5