Concepedia

P-adic Valuations

P-Adic Valuation is a discrete valuation on the field of rational numbers that assigns to each nonzero integer the highest power of a fixed prime \( p \) dividing it, thereby inducing a non-Archimedean absolute value fundamental to the structure of p-adic fields.

76

Publications

3.5K

Citations

97

Authors

63

Institutions

Publications per year

2017–2026

6

Parents

Publications

76

Elementary and Analytic Theory of Algebraic Numbers

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

, , +14

On the Rationality of the Zeta Function of an Algebraic Variety

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

, , +12

Maximal fields with valuations

Irving Kaplansky · Duke Mathematical Journal · 1942 · 319 citations

, , +8

Introduction to p-adic Numbers and Valuation Theory.

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

, , +11

Hypergeometric evaluation identities and supercongruences

Pacific Journal of Mathematics · 2011 · 156 citations · Full text

, , +8

1–5 of 76

Authors

97

  1. IK
    Irving Kaplansky

    University of Chicago, United States

    4 publications · 396 citations

    4

    h-index

  2. CS
    Carlo Sanna

    University of Turin, Italy

    3 publications · 57 citations

    3

    h-index

  3. MM
    Mircea Mustaţă

    University of Michigan, United States

    2 publications · 92 citations

    2

    h-index

  4. WW
    William W. Adams

    University of Colorado Boulder, United States

    2 publications · 212 citations

    2

    h-index

  5. RL
    Robert Lazarsfeld

    University of Illinois Chicago, United States

    2 publications · 92 citations

    2

    h-index

1–5 of 97

Institutions

63

  1. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    3 publications

    106 citations

  2. Harvard University

    Cambridge, United States

    3 h-index

    3 publications

    138 citations

  3. University of Cambridge

    Cambridge, United Kingdom

    2 h-index

    2 publications

    43 citations

  4. University of Michigan

    Ann Arbor, United States

    2 h-index

    2 publications

    92 citations

  5. Institute of Mathematics

    Warsaw, Poland

    2 h-index

    2 publications

    842 citations

  6. University of Turin

    Turin, Italy

    2 h-index

    2 publications

    43 citations

  7. Tulane University

    New Orleans, United States

    2 h-index

    5 publications

    60 citations

  8. Tel Aviv University

    Tel Aviv, Israel

    2 h-index

    2 publications

    39 citations

1–8 of 63

Venues

  1. Pacific Journal of Mathematics

    5 publications · 275 citations

    5

    h-index

  2. ArXiv.org

    Repository · 5 publications · 83 citations

    5

    h-index

  3. Compositio Mathematica

    4 publications · 170 citations

    4

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 4 publications · 137 citations

    4

    h-index

  5. Acta Arithmetica

    4 publications · 84 citations

    4

    h-index

1–5