Concepedia

Multiplicative Diophantine Approximation

Multiplicative Diophantine Approximation is a branch of number theory that studies the approximation of real numbers by rational numbers with respect to the multiplicative behavior of the denominators and the approximation errors, distinguished from classical Diophantine approximation by its focus on the product of approximation qualities across multiple coordinates or indices rather than their individual additive properties.

120

Publications

6.1K

Citations

128

Authors

93

Institutions

Publications per year

2017–2026

6

Parents

Publications

120

Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

Harry Furstenberg · Theory of Computing Systems · 1967 · 1K citations

, , +13

Metric theory of diophantine approximations

V. G. Sprindzhuk · Medical Entomology and Zoology · 1979 · 291 citations

, , +9

Euler’s constant: Euler’s work and modern developments

Jeffrey C. Lagarias · Bulletin of the American Mathematical Society · 2013 · 168 citations · Full text

, , +14

Computational excursions in analysis and number theory

Choice Reviews Online · 2003 · 158 citations

, , +17

On continued fractions and diophantine approximation in power series fields

Wolfgang M. Schmidt · Acta Arithmetica · 2000 · 158 citations · Full text

, , +11

1–5 of 120

Authors

128

  1. SV
    Sanju Velani

    University of York, United Kingdom

    7 publications · 377 citations

    7

    h-index

  2. BW
    Barak Weiss

    Ben-Gurion University of the Negev, Israel

    6 publications · 455 citations

    6

    h-index

  3. DK
    Dmitry Kleinbock

    Brandeis University, United States

    5 publications · 391 citations

    5

    h-index

  4. GH
    G. H. Hardy

    Science Oxford, United Kingdom

    4 publications · 338 citations

    4

    h-index

  5. RC
    R. C. Vaughan

    Imperial College London, United Kingdom

    4 publications · 264 citations

    4

    h-index

1–5 of 128

Institutions

93

  1. University of York

    York, United Kingdom

    11 h-index

    16 publications

    667 citations

  2. Imperial College London

    London, United Kingdom

    6 h-index

    7 publications

    232 citations

  3. Brandeis University

    Waltham, United States

    5 h-index

    5 publications

    311 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    5 publications

    116 citations

  5. University of Bristol

    Bristol, United Kingdom

    3 h-index

    3 publications

    57 citations

  6. Ben-Gurion University of the Negev

    Beersheba, Israel

    3 h-index

    3 publications

    284 citations

  7. Institut de Recherche Mathématique Avancée

    Strasbourg, France

    3 h-index

    3 publications

    67 citations

  8. University of Copenhagen

    Copenhagen, Denmark

    2 h-index

    2 publications

    81 citations

1–8 of 93

Venues

  1. Journal of Number Theory

    11 publications · 170 citations

    10

    h-index

  2. Journal of the London Mathematical Society

    10 publications · 275 citations

    10

    h-index

  3. Inventiones mathematicae

    7 publications · 317 citations

    7

    h-index

  4. Proceedings of the London Mathematical Society

    5 publications · 420 citations

    5

    h-index

  5. Acta Arithmetica

    5 publications · 252 citations

    5

    h-index

1–5