Concepedia

Primitive Roots Of Unity

Primitive Root of Unity is a complex number that generates all other roots of unity of a given order through its powers, distinguished by being the minimal such generator with exact multiplicative order equal to the degree of the root.

56

Publications

1.9K

Citations

61

Authors

46

Institutions

Publications per year

2017–2026

0

Variants

Primitive Nth Roots Of Unity

Parents

Publications

56

ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS

D. R. Heath‐Brown · The Quarterly Journal of Mathematics · 1986 · 286 citations

, , +15

On Character Sums and Primitive Roots<sup>†</sup>

D. A. Burgess · Proceedings of the London Mathematical Society · 1962 · 226 citations

, , +7

A class of polynomials

L. Carlitz · Transactions of the American Mathematical Society · 1938 · 90 citations · Full text

, , +7

Artin’s conjecture for primitive roots

M. Ram Murty · The Mathematical Intelligencer · 1988 · 89 citations

, , +11

Balancing sets of vectors

Noga Alon, Ernest E. Bergmann, Don Coppersmith et al. · IEEE Transactions on Information Theory · 1988 · 84 citations

, , +8

1–5 of 56

Authors

61

  1. LC
    L. Carlitz

    Duke University, United States

    4 publications · 166 citations

    4

    h-index

  2. DA
    D. A. Burgess

    University of Nottingham, United Kingdom

    3 publications · 287 citations

    3

    h-index

  3. IE
    Igor E. Shparlinski

    Macquarie University, Australia

    3 publications · 77 citations

    3

    h-index

  4. AZ
    Alexandru Zaharescu

    University of Illinois Urbana-Champaign, United States

    3 publications · 57 citations

    3

    h-index

  5. PM
    Pieter Moree

    Max Planck Institute for Mathematics, Germany

    2 publications · 35 citations

    2

    h-index

1–5 of 61

Institutions

46

  1. Tel Aviv University

    Tel Aviv, Israel

    3 h-index

    3 publications

    123 citations

  2. McGill University

    Montreal, Canada

    2 h-index

    2 publications

    104 citations

  3. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    2 h-index

    2 publications

    72 citations

  4. Duke University

    Durham, United States

    2 h-index

    2 publications

    57 citations

  5. Macquarie University

    Sydney, Australia

    2 h-index

    2 publications

    62 citations

  6. Princeton University

    Princeton, United States

    2 h-index

    3 publications

    60 citations

  7. University of Winnipeg

    Winnipeg, Canada

    1 h-index

    1 publications

    11 citations

  8. IBM (United States)

    Armonk, United States

    1 h-index

    1 publications

    84 citations

1–8 of 46

Venues

  1. Journal of Number Theory

    6 publications · 119 citations

    6

    h-index

  2. Proceedings of the London Mathematical Society

    4 publications · 291 citations

    4

    h-index

  3. Canadian Journal of Mathematics

    3 publications · 84 citations

    3

    h-index

  4. Acta Arithmetica

    3 publications · 34 citations

    3

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 2 publications · 42 citations

    2

    h-index

1–5