Concepedia

Approximation By Rational Points

Approximation By Rational Points is a method in Diophantine Approximation that quantifies how closely real numbers can be approximated by rational numbers with respect to specified height functions and error bounds.

207

Publications

8.1K

Citations

282

Authors

185

Institutions

Publications per year

2017–2026

16

Variants

Diophantine Approximation By Rationals

Parents

Publications

207

The AAA Algorithm for Rational Approximation

SIAM Journal on Scientific Computing · 2018 · 383 citations · Full text

, , +16

The AAA algorithm for rational approximation

Oxford University Research Archive (ORA) (University of Oxford) · 2018 · 371 citations

, , +16

Rational points of bounded height on Fano varieties

Jens Frankē, Yuri I. Manin, Yuri Tschinkel · Inventiones mathematicae · 1989 · 367 citations

, , +5

Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers

A. S. Besicovitch · Journal of the London Mathematical Society · 1934 · 204 citations

, , +12

Contributions to the theory of diophantine equations I. On the representation of integers by binary forms

A. Baker · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1968 · 161 citations

, , +14

1–5 of 207

Authors

282

  1. SV
    Sanju Velani

    University of York, United Kingdom

    4 publications · 164 citations

    4

    h-index

  2. JH
    Joseph H. Silverman

    University of Maryland, College Park, United States

    4 publications · 211 citations

    4

    h-index

  3. DR
    D. R. Heath‐Brown

    Northeast Catholic College, United States

    3 publications · 89 citations

    3

    h-index

  4. JL
    J. L. Walsh

    Munster Technological University, Ireland

    3 publications · 102 citations

    3

    h-index

  5. YT
    Yuri Tschinkel

    Steklov Mathematical Institute, Russia

    3 publications · 497 citations

    3

    h-index

1–5 of 282

Institutions

185

  1. University of York

    York, United Kingdom

    5 h-index

    6 publications

    293 citations

  2. University of Cambridge

    Cambridge, United Kingdom

    4 h-index

    4 publications

    140 citations

  3. University of California, Berkeley

    Berkeley, United States

    4 h-index

    4 publications

    107 citations

  4. University of Bristol

    Bristol, United Kingdom

    4 h-index

    4 publications

    72 citations

  5. KU Leuven

    Leuven, Belgium

    3 h-index

    4 publications

    95 citations

  6. University of Waterloo

    Waterloo, Canada

    3 h-index

    3 publications

    90 citations

  7. Steklov Mathematical Institute

    Moscow, Russia

    3 h-index

    3 publications

    450 citations

  8. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    5 publications

    867 citations

1–8 of 185

Venues

  1. Journal of Approximation Theory

    7 publications · 241 citations

    7

    h-index

  2. 7

    h-index

  3. Duke Mathematical Journal

    DMJ · 7 publications · 261 citations

    7

    h-index

  4. Inventiones mathematicae

    6 publications · 669 citations

    6

    h-index

  5. Acta Arithmetica

    6 publications · 179 citations

    6

    h-index

1–5