Concepedia

Khintchine's Theorem

Khintchine's Theorem is a fundamental result in metric Diophantine approximation that establishes a zero-one law for the Lebesgue measure of real numbers approximable by rational numbers to a given order, distinguishing it by linking the convergence or divergence of a related series to the measure of the associated approximable set.

157

Publications

7.8K

Citations

204

Authors

125

Institutions

Publications per year

2017–2026

17

Parents

Publications

157

An Introduction to Diophantine Approximation.

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

, , +12

The best constants in the Khintchine inequality

Uffe Haagerup · Studia Mathematica · 1981 · 354 citations · Full text

, , +5

On the best constants in the Khinchin inequality

Stanisław J. Szarek · Studia Mathematica · 1976 · 254 citations · Full text

, , +7

Some problems of diophantine approximation: Part I. The fractional part of nkθ

G. H. Hardy, J. E. Littlewood · Acta Mathematica · 1914 · 213 citations · Full text

, , +11

A Mean Value Theorem in Geometry of Numbers

Carl Ludwig Siegel · Annals of Mathematics · 1945 · 212 citations

, , +10

1–5 of 157

Authors

204

  1. SV
    Sanju Velani

    University of York, United Kingdom

    11 publications · 598 citations

    11

    h-index

  2. VB
    Victor Beresnevich

    University of York, United Kingdom

    8 publications · 368 citations

    8

    h-index

  3. MM
    M. M. Dodson

    University of York, United Kingdom

    5 publications · 87 citations

    5

    h-index

  4. AG
    Anish Ghosh

    Tata Institute of Fundamental Research, India

    4 publications · 97 citations

    5

    h-index

  5. DD
    Detta Dickinson

    National University of Ireland, Maynooth, Ireland

    4 publications · 148 citations

    4

    h-index

1–5 of 204

Institutions

125

  1. University of York

    York, United Kingdom

    14 h-index

    28 publications

    961 citations

  2. Tel Aviv University

    Tel Aviv, Israel

    5 h-index

    6 publications

    145 citations

  3. Pennsylvania State University

    State College, United States

    5 h-index

    9 publications

    340 citations

  4. Graz University of Technology

    Graz, Austria

    3 h-index

    4 publications

    63 citations

  5. Brandeis University

    Waltham, United States

    3 h-index

    3 publications

    162 citations

  6. Tata Institute of Fundamental Research

    Mumbai, India

    3 h-index

    6 publications

    82 citations

  7. National University of Ireland, Maynooth

    Maynooth, Ireland

    3 h-index

    4 publications

    147 citations

  8. University of Bristol

    Bristol, United Kingdom

    3 h-index

    3 publications

    78 citations

1–8 of 125

Venues

  1. Israel Journal of Mathematics

    5 publications · 125 citations

    5

    h-index

  2. Studia Mathematica

    5 publications · 778 citations

    5

    h-index

  3. Journal of the London Mathematical Society

    5 publications · 293 citations

    5

    h-index

  4. Journal of Number Theory

    5 publications · 102 citations

    5

    h-index

  5. Acta Arithmetica

    4 publications · 88 citations

    4

    h-index

1–5