Concepedia

P-adic Diophantine Approximation

p-Adic Diophantine Approximation is a branch of number theory that studies the approximation of algebraic numbers by rational numbers in the p-adic metric, where the proximity is measured with respect to a prime p rather than the usual Archimedean absolute value.

31

Publications

2.8K

Citations

39

Authors

24

Institutions

Publications per year

2017–2026

0

Parents

Publications

31

An Introduction to Diophantine Approximation.

John C. Brixey, J. W. S. Cassels · American Mathematical Monthly · 1958 · 1.2K citations

, , +12

An application of simultaneous diophantine approximation in combinatorial optimization

András Frank, Éva Tardos · COMBINATORICA · 1987 · 331 citations

, , +13

On fractal measures and diophantine approximation

Dmitry Kleinbock, Elon Lindenstrauss, Barak Weiss · 2003 · 120 citations · Full text

, , +14

Flows on $S$-arithmetic homogeneous spaces and applications to metric Diophantine approximation

Dmitry Kleinbock, George Tomanov · Commentarii Mathematici Helvetici · 2007 · 101 citations · Full text

, , +16

On fractal measures and diophantine approximation

Dmitry Kleinbock, Elon Lindenstrauss, Barak Weiss · Selecta Mathematica · 2005 · 101 citations

, , +14

1–5 of 31

Authors

39

  1. DK
    Dmitry Kleinbock

    Brandeis University, United States

    3 publications · 322 citations

    3

    h-index

  2. BW
    Barak Weiss

    Ben-Gurion University of the Negev, Israel

    2 publications · 221 citations

    2

    h-index

  3. YB
    Yann Bugeaud

    Université de Strasbourg, France

    2 publications · 60 citations

    2

    h-index

  4. JE
    J. E. Littlewood

    Science Oxford, United Kingdom

    2 publications · 136 citations

    2

    h-index

  5. GV
    G. V. Chudnovsky

    Columbia University, United States

    2 publications · 163 citations

    2

    h-index

1–5 of 39

Institutions

24

  1. Brandeis University

    Waltham, United States

    3 h-index

    3 publications

    322 citations

  2. Princeton University

    Princeton, United States

    2 h-index

    2 publications

    134 citations

  3. Ben-Gurion University of the Negev

    Beersheba, Israel

    2 h-index

    2 publications

    221 citations

  4. Stanford University

    Stanford, United States

    2 h-index

    2 publications

    221 citations

  5. Institut de Recherche Mathématique Avancée

    Strasbourg, France

    2 h-index

    2 publications

    60 citations

  6. Queen's University

    Kingston, Canada

    2 h-index

    3 publications

    91 citations

  7. University of Waterloo

    Waterloo, Canada

    1 h-index

    1 publications

    57 citations

  8. Pennsylvania State University

    State College, United States

    1 h-index

    1 publications

    21 citations

1–8 of 24

Venues

  1. Proceedings of the National Academy of Sciences

    PNAS · 2 publications · 100 citations

    2

    h-index

  2. Journal of Number Theory

    2 publications · 38 citations

    2

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 2 publications · 47 citations

    2

    h-index

  4. Bulletin of the American Mathematical Society

    2 publications · 67 citations

    2

    h-index

  5. American Mathematical Monthly

    1 publications · 1.2K citations

    1

    h-index

1–5