Concepedia

Generalized Primitive Roots

Generalized Primitive Roots is a number-theoretic construct that extends the classical notion of primitive roots modulo a prime by characterizing elements of maximal multiplicative order in more general algebraic structures, such as composite moduli or finite rings, where invertibility and cyclicity conditions are relaxed.

17

Publications

1.9K

Citations

25

Authors

18

Institutions

Publications per year

2017–2026

0

Parents

Publications

17

Elementary Number Theory

Henry J. Ricardo, David Burton · The Two-Year College Mathematics Journal · 1979 · 975 citations

, , +8

ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS

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

, , +15

Elementary Number Theory

G. F. Cramer, J. V. Uspensky, M. A. Heaslet · Graduate texts in mathematics · 1940 · 178 citations

, , +8

A class of polynomials

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

, , +7

On the classification of primitive ideals for complex classical Lie algebras, I

Devra Garfinkle · French digital mathematics library (Numdam) · 1990 · 89 citations

, , +15

1–5 of 17

Authors

25

  1. LC
    L. Carlitz

    Duke University, United States

    2 publications · 122 citations

    2

    h-index

  2. HD
    H. Davenport

    University College London, United Kingdom

    1 publications · 50 citations

    1

    h-index

  3. WD
    William D. Banks

    University of Missouri, United States

    1 publications · 39 citations

    1

    h-index

  4. IE
    Igor E. Shparlinski

    Macquarie University, Australia

    1 publications · 39 citations

    1

    h-index

  5. JV
    J. V. Uspensky

    Carleton College, United States

    1 publications · 178 citations

    1

    h-index

1–5 of 25

Institutions

18

  1. Technical University of Sofia

    Sofia, Bulgaria

    1 h-index

    2 publications

    38 citations

  2. Aberystwyth University

    Aberystwyth, United Kingdom

    1 h-index

    1 publications

    15 citations

  3. McGill University

    Montreal, Canada

    1 h-index

    2 publications

    20 citations

  4. New York University

    New York, United States

    1 h-index

    1 publications

    27 citations

  5. Romanian Academy

    Bucharest, Romania

    1 h-index

    2 publications

    22 citations

  6. Macquarie University

    Sydney, Australia

    1 h-index

    1 publications

    39 citations

  7. Northeast Catholic College

    Merrimack, United States

    1 h-index

    1 publications

    286 citations

  8. University of Missouri

    Columbia, United States

    1 h-index

    1 publications

    39 citations

1–8 of 18

Venues

  1. The Quarterly Journal of Mathematics

    3 publications · 368 citations

    3

    h-index

  2. American Mathematical Monthly

    1 publications · 16 citations

    1

    h-index

  3. 1

    h-index

  4. Bulletin of the American Mathematical Society

    1 publications · 27 citations

    1

    h-index

  5. ArXiv.org

    Repository · 1 publications · 20 citations

    1

    h-index

1–5