Concepedia

Euclidean Division

Euclidean Division is a mathematical operation within number theory that, given two integers a and b with b > 0, uniquely expresses a as a = bq + r, where q and r are integers satisfying 0 ≤ r < b, thereby defining the quotient and remainder of the division of a by b.

25

Publications

734

Citations

41

Authors

29

Institutions

Publications per year

2017–2026

2

Variants

Division Algorithm

Parents

Publications

25

Integers, polynomials, and rings: a course in algebra

Choice Reviews Online · 2005 · 62 citations

, , +15

New systolic architectures for inversion and division in GF(2/sup m/)

Zhiyuan Yan, D.V. Sarwate · IEEE Transactions on Computers · 2003 · 60 citations

, , +13

Solutions of Some Problems of Division: Part III. Division in the Spaces, D � , H, Q A , O

Leon Ehrenpreis · American Journal of Mathematics · 1956 · 55 citations

, , +10

The Euclidean definition of the functions div and mod

Raymond Boute · ACM Transactions on Programming Languages and Systems · 1992 · 49 citations · Full text

, , +8

Algorithm and bound for the greatest common divisor of <i>n</i> integers

Gordon H. Bradley · Communications of the ACM · 1970 · 49 citations · Full text

, , +14

1–5 of 25

Authors

41

  1. GE
    George E. Collins

    University of Wisconsin–Madison, United States

    2 publications · 34 citations

    2

    h-index

  2. SS
    Saburou Saitoh

    Gunma University, Japan

    1 publications · 39 citations

    1

    h-index

  3. PD
    Paolo Dulio

    Politecnico di Milano, Italy

    1 publications · 10 citations

    1

    h-index

  4. RB
    Raymond Boute

    Radboud University Nijmegen, Netherlands

    1 publications · 49 citations

    1

    h-index

  5. SM
    Silvia M.C. Pagani

    Politecnico di Milano, Italy

    1 publications · 10 citations

    1

    h-index

1–5 of 41

Institutions

29

  1. Urbana University

    Urbana, United States

    2 h-index

    2 publications

    87 citations

  2. Yale University

    New Haven, United States

    1 h-index

    1 publications

    49 citations

  3. Agence pour le Développement et la Réhabilitation de la Ville de Fès

    Fes, Morocco

    1 h-index

    1 publications

    12 citations

  4. Sharif University of Technology

    Tehran, Iran

    1 h-index

    1 publications

    39 citations

  5. University of Patras

    Pátrai, Greece

    1 h-index

    1 publications

    22 citations

  6. University of Rochester

    Rochester, United States

    1 h-index

    1 publications

    39 citations

  7. University of Florence

    Florence, Italy

    1 h-index

    1 publications

    10 citations

  8. Aarhus University

    Aarhus, Denmark

    1 h-index

    1 publications

    37 citations

1–8 of 29

Venues

  1. Journal of Symbolic Computation

    2 publications · 38 citations

    2

    h-index

  2. IEEE Transactions on Computers

    2 publications · 97 citations

    2

    h-index

  3. Choice Reviews Online

    CRO · 2 publications · 79 citations

    2

    h-index

  4. American Journal of Mathematics

    1 publications · 55 citations

    1

    h-index

  5. Fundamenta Informaticae

    1 publications · 10 citations

    1

    h-index

1–5