Concepedia

P-adic Numbers

P-Adic Numbers is a complete topological field extension of the rational numbers, constructed by completing the rationals with respect to the p-adic norm, which assigns size based on divisibility by a fixed prime p, thereby enabling a non-Archimedean valuation and a unique metric structure distinct from the real numbers.

444

Publications

17.2K

Citations

471

Authors

300

Institutions

Publications per year

2017–2026

52

Variants

P-adic Number

Parents

Publications

444

Elementary and Analytic Theory of Algebraic Numbers

Peter Shiu, Władysław Narkiewicz · The Mathematical Gazette · 1991 · 769 citations

, , +14

Onp-adic analogues of the conjectures of Birch and Swinnerton-Dyer

Barry Mazur, John Tate, Jeremy Teitelbaum · Inventiones mathematicae · 1986 · 441 citations

, , +11

Rings of real-valued continuous functions. I

Edwin Hewitt · Transactions of the American Mathematical Society · 1948 · 440 citations · Full text

, , +8

On the Rationality of the Zeta Function of an Algebraic Variety

Bernard Dwork · American Journal of Mathematics · 1960 · 355 citations

, , +12

p-adic numbers in physics

Lee Brekke · Physics Reports · 1993 · 276 citations

, , +6

1–5 of 444

Authors

471

  1. AK
    Andrei Khrennikov

    Växjö Kommun, Sweden

    11 publications · 268 citations

    10

    h-index

  2. TK
    Taekyun Kim

    Kwangwoon University, South Korea

    8 publications · 392 citations

    8

    h-index

  3. AK
    Andrew Khrennikov

    Ruhr University Bochum, Germany

    7 publications · 194 citations

    8

    h-index

  4. YŞ
    Yılmaz Şimşek

    Akdeniz University, Türkiye

    8 publications · 270 citations

    8

    h-index

  5. AY
    Andrei Yu. Khrennikov

    Växjö Kommun, Sweden

    8 publications · 161 citations

    8

    h-index

1–5 of 471

Institutions

300

  1. Linnaeus University

    Vaxjo, Sweden

    8 h-index

    10 publications

    318 citations

  2. Kyungpook National University

    Daegu, South Korea

    8 h-index

    11 publications

    537 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    11 publications

    207 citations

  4. Växjö Kommun

    Vaxjo, Sweden

    7 h-index

    8 publications

    202 citations

  5. Princeton University

    Princeton, United States

    7 h-index

    16 publications

    540 citations

  6. Ruhr University Bochum

    Bochum, Germany

    6 h-index

    7 publications

    413 citations

  7. Steklov Mathematical Institute

    Moscow, Russia

    5 h-index

    7 publications

    652 citations

  8. University of California, Berkeley

    Berkeley, United States

    5 h-index

    5 publications

    338 citations

1–8 of 300

Venues

  1. Journal of Number Theory

    33 publications · 660 citations

    17

    h-index

  2. Inventiones mathematicae

    15 publications · 1.3K citations

    13

    h-index

  3. Annals of Mathematics

    14 publications · 1.1K citations

    13

    h-index

  4. American Journal of Mathematics

    13 publications · 839 citations

    12

    h-index

  5. ArXiv.org

    Repository · 11 publications · 281 citations

    11

    h-index

1–5