Concepedia

P-adic Integration

P-Adic Integration is a mathematical framework in p-adic analysis that generalizes the concept of integration to p-adic fields by assigning p-adic measures to functions over p-adic domains, distinguishing it from classical integration through its non-Archimedean valuation and convergence properties.

87

Publications

3.4K

Citations

88

Authors

74

Institutions

Publications per year

2017–2026

11

Parents

Publications

87

q-Euler numbers and polynomials associated with p-adic q-integrals

Taekyun Kim · Journal of Nonlinear Mathematical Physics · 2007 · 198 citations · Full text

, , +11

Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on ℤ p

T. Kim · Russian Journal of Mathematical Physics · 2009 · 189 citations

, , +8

Integration on ℋ p × ℋ and Arithmetic Applications

Henri Darmon · Annals of Mathematics · 2001 · 128 citations

, , +16

Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on ℤ p

T. Kim · Russian Journal of Mathematical Physics · 2009 · 113 citations

, , +10

Symmetry <i>p</i> -adic invariant integral on ℤ <sub> <i>p</i> </sub> for Bernoulli and Euler polynomials

Taekyun Kim · The Journal of Difference Equations and Applications · 2008 · 112 citations

, , +6

1–5 of 87

Authors

88

  1. TK
    Taekyun Kim

    Kwangwoon University, South Korea

    13 publications · 615 citations

    12

    h-index

  2. DS
    Dae San Kim

    Sogang University, South Korea

    7 publications · 124 citations

    7

    h-index

  3. FL
    François Loeser

    KU Leuven, Belgium

    7 publications · 290 citations

    7

    h-index

  4. YŞ
    Yılmaz Şimşek

    Akdeniz University, Türkiye

    5 publications · 83 citations

    5

    h-index

  5. JD
    Jan Denef

    KU Leuven, Belgium

    4 publications · 130 citations

    4

    h-index

1–5 of 88

Institutions

74

  1. Kwangwoon University

    Seoul, South Korea

    11 h-index

    17 publications

    570 citations

  2. Sogang University

    Seoul, South Korea

    7 h-index

    8 publications

    152 citations

  3. Kyungpook National University

    Daegu, South Korea

    6 h-index

    10 publications

    430 citations

  4. KU Leuven

    Leuven, Belgium

    6 h-index

    6 publications

    237 citations

  5. University of Southampton

    Southampton, United Kingdom

    4 h-index

    5 publications

    299 citations

  6. École Normale Supérieure - PSL

    Paris, France

    3 h-index

    3 publications

    140 citations

  7. Steklov Mathematical Institute

    Moscow, Russia

    3 h-index

    3 publications

    69 citations

  8. Akdeniz University

    Antalya, Türkiye

    3 h-index

    3 publications

    66 citations

1–8 of 74

Venues

  1. ArXiv.org

    Repository · 7 publications · 173 citations

    7

    h-index

  2. Annals of Mathematics

    4 publications · 319 citations

    4

    h-index

  3. arXiv (Cornell University)

    Repository · 3 publications · 61 citations

    3

    h-index

  4. Integral Transforms and Special Functions

    3 publications · 126 citations

    3

    h-index

  5. Russian Journal of Mathematical Physics

    3 publications · 330 citations

    3

    h-index

1–5