Concepedia

Dirichlet Approximation Principle

The Dirichlet Approximation Principle is a theorem in Diophantine approximation stating that for any real number α and any positive integer N, there exist integers p and q with 1 ≤ q ≤ N such that the absolute value of α − p/q is less than 1/(qN), thereby guaranteeing rational approximations of real numbers with controlled denominator size and approximation error.

40

Publications

1.4K

Citations

62

Authors

45

Institutions

Publications per year

2017–2026

4

Variants

Dirichlet's Approximation Theorem

Parents

Publications

40

Dirichlet's theorem on diophantine approximation

Roger C. Baker · Mathematical Proceedings of the Cambridge Philosophical Society · 1978 · 121 citations

, , +3

Large values of Dirichlet polynomials, III

M. N. Huxley · Acta Arithmetica · 1975 · 111 citations · Full text

, , +6

Introduction to Diophantine Approximation

Yasushige Watase · Formalized Mathematics · 2015 · 109 citations · Full text

, , +12

Dirichlet's theorem on diophantine approximation. II

H. Davenport, Wolfgang M. Schmidt · Acta Arithmetica · 1970 · 83 citations · Full text

, , +8

A Dirichlet principle for non reversible Markov chains and some recurrence theorems

Alexandre Gaudillière, Cláudio Landim · Probability Theory and Related Fields · 2013 · 71 citations · Full text

, , +13

1–5 of 40

Authors

62

  1. LF
    Lior Fishman

    University of North Texas, United States

    2 publications · 34 citations

    2

    h-index

  2. NA
    Nimish A. Shah

    Tata Institute of Fundamental Research, India

    2 publications · 87 citations

    2

    h-index

  3. MN
    M. N. Huxley

    University of Wales, United Kingdom

    2 publications · 125 citations

    2

    h-index

  4. WW
    WanYi WANG

    1 publications · 10 citations

    1

    h-index

  5. TY
    Tetsuro Yamamoto

    Ehime University, Japan

    1 publications · 46 citations

    1

    h-index

1–5 of 62

Institutions

45

  1. Tata Institute of Fundamental Research

    Mumbai, India

    4 h-index

    3 publications

    107 citations

  2. The Ohio State University

    Columbus, United States

    3 h-index

    3 publications

    73 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    3 publications

    163 citations

  4. University of Minnesota

    Minneapolis, United States

    1 h-index

    1 publications

    47 citations

  5. KTH Royal Institute of Technology

    Stockholm, Sweden

    1 h-index

    1 publications

    65 citations

  6. Université de Montréal

    Montreal, Canada

    1 h-index

    1 publications

    15 citations

  7. Washington University in St. Louis

    St Louis, United States

    1 h-index

    1 publications

    18 citations

  8. State University of Management

    Moscow, Russia

    1 h-index

    1 publications

    54 citations

1–8 of 45

Venues

  1. Journal of Number Theory

    3 publications · 48 citations

    3

    h-index

  2. Acta Arithmetica

    3 publications · 208 citations

    3

    h-index

  3. Mathematische Annalen

    2 publications · 26 citations

    2

    h-index

  4. Journal of Functional Analysis

    2 publications · 77 citations

    2

    h-index

  5. Journal of Approximation Theory

    1 publications · 11 citations

    1

    h-index

1–5