Concepedia

Multiplicative Order

Multiplicative Order is the smallest positive integer \( d \) such that \( a^d \equiv 1 \pmod{n} \) for a given integer \( a \) coprime to \( n \), in the context of modular arithmetic.

82

Publications

2.3K

Citations

128

Authors

96

Institutions

Publications per year

2017–2026

7

Variants

Order Of An Element

Parents

Publications

82

Pseudocyclic maximum-distance-separable codes

A. Krishna, D.V. Sarwate · IEEE Transactions on Information Theory · 1990 · 153 citations

, , +9

Educating Teachers to Teach Multiplicative Structures in the Middle Grades

Judith T. Sowder, Barbara E. Armstrong, Susan J. Lamon et al. · Journal of Mathematics Teacher Education · 1998 · 122 citations

, , +6

Divisibility and Multiplicative Structure of Natural Numbers: Preservice Teachers' Understanding

Rina Zazkis, Stephen R. Campbell · Journal for Research in Mathematics Education · 1996 · 100 citations

, , +14

The fractional knowledge and algebraic reasoning of students with the first multiplicative concept

Amy J. Hackenberg · The Journal of Mathematical Behavior · 2013 · 90 citations

, , +13

On Extending the Bradley-Terry Model to Incorporate Within-Pair Order Effects

Roger R. Davidson, Robert J. Beaver · Biometrics · 1977 · 89 citations

, , +13

1–5 of 82

Authors

128

  1. IE
    Igor E. Shparlinski

    Macquarie University, Australia

    5 publications · 174 citations

    5

    h-index

  2. JF
    John Friedlander

    University of Toronto, Canada

    3 publications · 126 citations

    3

    h-index

  3. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    2 publications · 35 citations

    2

    h-index

  4. CC
    Constantinos Christou

    University of Cyprus, Cyprus

    2 publications · 42 citations

    2

    h-index

  5. SG
    Shuhong Gao

    Clemson University, United States

    2 publications · 86 citations

    2

    h-index

1–5 of 128

Institutions

96

  1. Macquarie University

    Sydney, Australia

    5 h-index

    6 publications

    245 citations

  2. University of Toronto

    Toronto, Canada

    5 h-index

    5 publications

    212 citations

  3. Dartmouth College

    Hanover, United States

    3 h-index

    3 publications

    73 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    4 publications

    353 citations

  5. The University of Texas at Austin

    Austin, United States

    3 h-index

    3 publications

    68 citations

  6. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    3 h-index

    3 publications

    42 citations

  7. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    2 h-index

    2 publications

    37 citations

  8. Urbana University

    Urbana, United States

    2 h-index

    3 publications

    325 citations

1–8 of 96

Venues

  1. Acta Arithmetica

    9 publications · 180 citations

    9

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 7 publications · 139 citations

    7

    h-index

  3. Journal for Research in Mathematics Education

    JRME · 4 publications · 215 citations

    4

    h-index

  4. Pacific Journal of Mathematics

    3 publications · 114 citations

    3

    h-index

  5. ArXiv.org

    Repository · 2 publications · 52 citations

    2

    h-index

1–5