Concepedia

Farey Sequences

Farey Sequence is a strictly increasing sequence of irreducible fractions between 0 and 1 with denominators not exceeding a given positive integer, arranged in ascending order.

60

Publications

6.7K

Citations

92

Authors

66

Institutions

Publications per year

2017–2026

2

Variants

Farey Sequence

Parents

Children

Publications

60

An Introduction to the Theory of Numbers.

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

, , +8

Recent history of fractional calculus

J. A. Tenreiro Machado, Virginia Kiryakova, Francesco Mainardi · Communications in Nonlinear Science and Numerical Simulation · 2010 · 1.6K citations · Full text

, , +13

Some properties of fractional integrals. I.

G. H. Hardy, J. E. Littlewood · Mathematische Zeitschrift · 1928 · 908 citations

, , +10

A Handbook of Integer Sequences

J. W. W., N. J. A. Sloane · Mathematics of Computation · 1974 · 355 citations

, , +12

Differentiation in lacunary directions

Alexander Nagel, E. M. Stein, Stephen Wainger · Proceedings of the National Academy of Sciences · 1978 · 136 citations · Full text

, , +5

1–5 of 60

Authors

92

  1. AZ
    Alexandru Zaharescu

    University of Illinois Urbana-Champaign, United States

    4 publications · 128 citations

    4

    h-index

  2. SK
    Shigeru Kanemitsu

    Kyushu University, Japan

    3 publications · 75 citations

    3

    h-index

  3. FP
    Florin P. Boca

    Romanian Academy, Romania

    3 publications · 104 citations

    3

    h-index

  4. JR
    John Ringland

    Southern Methodist University, United States

    2 publications · 71 citations

    2

    h-index

  5. VK
    Virginia Kiryakova

    Bulgarian Academy of Sciences, Bulgaria

    2 publications · 1.7K citations

    2

    h-index

1–5 of 92

Institutions

66

  1. Romanian Academy

    Bucharest, Romania

    3 h-index

    4 publications

    155 citations

  2. Southern Methodist University

    Dallas, United States

    2 h-index

    5 publications

    196 citations

  3. Hebrew University of Jerusalem

    Jerusalem, Israel

    2 h-index

    4 publications

    242 citations

  4. Boston University

    Boston, United States

    2 h-index

    2 publications

    106 citations

  5. HITEC University

    Rawalpindi, Pakistan

    1 h-index

    1 publications

    15 citations

  6. China University of Mining and Technology

    Xuzhou, China

    1 h-index

    1 publications

    15 citations

  7. University of Wisconsin–Madison

    Madison, United States

    1 h-index

    2 publications

    272 citations

  8. RWTH Aachen University

    Aachen, Germany

    1 h-index

    1 publications

    19 citations

1–8 of 66

Venues

  1. Acta Arithmetica

    4 publications · 104 citations

    4

    h-index

  2. American Mathematical Monthly

    4 publications · 2.1K citations

    4

    h-index

  3. 2

    h-index

  4. Physics Letters A

    2 publications · 61 citations

    2

    h-index

  5. Journal of Number Theory

    2 publications · 30 citations

    2

    h-index

1–5