Concepedia

Quadratic Irrationalities

Quadratic Irrationalities is a subclass of irrational numbers consisting of real algebraic numbers of degree two, distinguished by their representation as roots of quadratic polynomials with rational coefficients and their characterization as infinite periodic continued fractions.

48

Publications

3.4K

Citations

72

Authors

40

Institutions

Publications per year

2017–2026

5

Variants

Quadratic Irrationals

Parents

Publications

48

An Introduction to the Theory of Numbers.

W. J. LeVeque, Ivan Niven, Herbert S. Zuckerman · American Mathematical Monthly · 1961 · 2K citations

, , +8

On the Julia set of a typical quadratic polynomial with a Siegel disk

Carsten Lunde Petersen, Saeed Zakeri · Annals of Mathematics · 2004 · 90 citations · Full text

, , +7

Real Multiplication and noncommutative geometry

Yuri I. Manin · ArXiv.org · 2002 · 83 citations · Full text

, , +14

Approximation to real numbers by quadratic irrationals

H. Davenport, Wolfgang M. Schmidt · Acta Arithmetica · 1967 · 82 citations · Full text

, , +11

Quadratic forms of signature (2,2) and eigenvalue spacings on rectangular 2-tori

Alex Eskin, Shahar Mozes · Annals of Mathematics · 2005 · 77 citations · Full text

, , +8

1–5 of 48

Authors

72

  1. XB
    Xavier Buff

    Université Toulouse III - Paul Sabatier, France

    2 publications · 51 citations

    2

    h-index

  2. LB
    Leon Bernstein

    U.S. Salinity Laboratory, United States

    2 publications · 47 citations

    2

    h-index

  3. AJ
    Alfred J. van der Poorten

    Macquarie University, Australia

    2 publications · 36 citations

    2

    h-index

  4. HC
    Hywel C Williams

    University of Nottingham, United Kingdom

    2 publications · 71 citations

    2

    h-index

  5. MC
    M. C. Wunderlich

    Northern Illinois University, United States

    2 publications · 71 citations

    2

    h-index

1–5 of 72

Institutions

40

  1. University of Chicago

    Chicago, United States

    2 h-index

    2 publications

    88 citations

  2. Université Toulouse III - Paul Sabatier

    Toulouse, France

    2 h-index

    4 publications

    102 citations

  3. Universidad Autónoma del Estado de Morelos

    Cuernavaca, Mexico

    1 h-index

    1 publications

    11 citations

  4. Stony Brook University

    Stony Brook, United States

    1 h-index

    1 publications

    90 citations

  5. Simon Fraser University

    Burnaby, Canada

    1 h-index

    1 publications

    30 citations

  6. Niigata University

    Niigata, Japan

    1 h-index

    2 publications

    20 citations

  7. Landau Institute for Theoretical Physics

    Chernogolovka, Russia

    1 h-index

    1 publications

    30 citations

  8. Kyushu University

    Fukuoka, Japan

    1 h-index

    1 publications

    16 citations

1–8 of 40

Venues

  1. Annals of Mathematics

    5 publications · 313 citations

    5

    h-index

  2. Acta Arithmetica

    3 publications · 117 citations

    3

    h-index

  3. Mathematics of Computation

    MCOM · 3 publications · 92 citations

    3

    h-index

  4. Pacific Journal of Mathematics

    2 publications · 74 citations

    2

    h-index

  5. American Mathematical Monthly

    2 publications · 2K citations

    2

    h-index

1–5