Concepedia

P-adic Integers

P-Adic Integers is the ring of sequences of integers modulo \( p^n \) for all \( n \geq 1 \), compatible under the natural projection maps, forming a complete topological ring with respect to the p-adic metric.

181

Publications

6.3K

Citations

225

Authors

150

Institutions

Publications per year

2017–2026

19

Parents

Publications

181

p-adic numbers in physics

Lee Brekke · Physics Reports · 1993 · 276 citations

, , +6

p-adic and Real Subanalytic Sets

Jan Denef, Lou van den Dries · Annals of Mathematics · 1988 · 262 citations

, , +5

A random walk on p-adics—the generator and its spectrum

Sergio Albeverio, W. Karwowski · Stochastic Processes and their Applications · 1994 · 200 citations

, , +9

Introduction to p-adic Numbers and Valuation Theory.

William W. Adams, George Bachman · American Mathematical Monthly · 1966 · 169 citations

, , +11

On Γ-extensions of algebraic number fields

Kenkichi Iwasawa · Bulletin of the American Mathematical Society · 1959 · 157 citations · Full text

, , +16

1–5 of 181

Authors

225

  1. YŞ
    Yılmaz Şimşek

    Akdeniz University, Türkiye

    3 publications · 88 citations

    3

    h-index

  2. ZS
    Zhi‐Wei Sun

    Nanjing University, China

    3 publications · 46 citations

    3

    h-index

  3. MA
    Mehmet Açıkgöz

    Gaziantep University, Türkiye

    3 publications · 66 citations

    3

    h-index

  4. RG
    Ralph Greenberg

    University of Washington, United States

    3 publications · 165 citations

    3

    h-index

  5. CS
    Carlo Sanna

    University of Turin, Italy

    3 publications · 49 citations

    3

    h-index

1–5 of 225

Institutions

150

  1. Nagoya University

    Nagoya, Japan

    4 h-index

    4 publications

    103 citations

  2. UNSW Sydney

    Sydney, Australia

    3 h-index

    3 publications

    45 citations

  3. Nanjing University

    Nanjing, China

    3 h-index

    3 publications

    46 citations

  4. Växjö Kommun

    Vaxjo, Sweden

    3 h-index

    5 publications

    142 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    121 citations

  6. Waseda University

    Tokyo, Japan

    3 h-index

    3 publications

    58 citations

  7. University of Leeds

    Leeds, United Kingdom

    2 h-index

    2 publications

    109 citations

  8. University of Michigan

    Ann Arbor, United States

    2 h-index

    2 publications

    95 citations

1–8 of 150

Venues

  1. Journal of Number Theory

    13 publications · 307 citations

    11

    h-index

  2. Acta Arithmetica

    8 publications · 165 citations

    8

    h-index

  3. American Journal of Mathematics

    5 publications · 204 citations

    5

    h-index

  4. Annals of Mathematics

    5 publications · 556 citations

    5

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 5 publications · 103 citations

    5

    h-index

1–5