Concepedia

Simple Continued Fractions

Simple Continued Fractions is a type of continued fraction in which all partial numerators are equal to 1 and all partial denominators are positive integers, distinguished from general continued fractions by this canonical form.

44

Publications

1.3K

Citations

60

Authors

40

Institutions

Publications per year

2017–2026

2

Variants

Simple Continued Fraction

Parents

Publications

44

Multiples of Points on Elliptic Curves and Continued Fractions

William W. Adams, Michael J. Razar · Proceedings of the London Mathematical Society · 1980 · 86 citations

, , +11

Simple continued fractions for some irrational numbers, II

Jeffrey Shallit · Journal of Number Theory · 1982 · 85 citations

, , +5

On the ergodic theorems (II) (Ergodic theory of continued fractions)

C. Ryll–Nardzewski · Studia Mathematica · 1951 · 81 citations

, , +13

The Three Gap Theorem (Steinhaus Conjecture)

Tony van Ravenstein · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1988 · 79 citations · Full text

, , +10

Continued fraction TBA and functional relations in XXZ model at root of unity

Nuclear Physics B · 1998 · 73 citations · Full text

, , +9

1–5 of 44

Authors

60

  1. HC
    Henry Cohn

    Microsoft (United States), United States

    2 publications · 51 citations

    2

    h-index

  2. JS
    Jeffrey Shallit

    University of Waterloo, Canada

    2 publications · 139 citations

    2

    h-index

  3. WW
    Wolfgang Woess

    Graz University of Technology, Austria

    2 publications · 27 citations

    2

    h-index

  4. TL
    T.N. Lucas

    University of Dundee, United Kingdom

    1 publications · 29 citations

    1

    h-index

  5. ML
    M.-T. Lee

    Universidade Federal de São Carlos, Brazil

    1 publications · 10 citations

    1

    h-index

1–5 of 60

Institutions

40

  1. University of California, Berkeley

    Berkeley, United States

    2 h-index

    2 publications

    99 citations

  2. Montanuniversität Leoben

    Leoben, Austria

    2 h-index

    2 publications

    27 citations

  3. University of Vienna

    Vienna, Austria

    2 h-index

    2 publications

    25 citations

  4. Aichi Konan College

    Kōnan, Japan

    1 h-index

    1 publications

    12 citations

  5. University of Wollongong

    Wollongong, Australia

    1 h-index

    1 publications

    79 citations

  6. Princeton University

    Princeton, United States

    1 h-index

    1 publications

    54 citations

  7. Australian National University

    Canberra, Australia

    1 h-index

    1 publications

    27 citations

  8. Washington State University

    Pullman, United States

    1 h-index

    2 publications

    36 citations

1–8 of 40

Venues

  1. Pacific Journal of Mathematics

    4 publications · 134 citations

    4

    h-index

  2. Journal of Number Theory

    3 publications · 152 citations

    3

    h-index

  3. American Mathematical Monthly

    3 publications · 65 citations

    3

    h-index

  4. Physical review. A, General physics

    2 publications · 37 citations

    2

    h-index

  5. Advances in Applied Probability

    AAP · 2 publications · 27 citations

    2

    h-index

1–5