Concepedia

Carmichael Function

The Carmichael Function is an arithmetic function that assigns to each positive integer n the smallest positive integer m such that a^m ≡ 1 mod n for all integers a coprime to n, distinguishing it from other number-theoretic functions by characterizing the exponent of the multiplicative group of integers modulo n.

24

Publications

879

Citations

41

Authors

23

Institutions

Publications per year

2017–2026

1

Parents

Publications

24

There are Infinitely Many Carmichael Numbers

W. R. Alford, Andrew Granville, Carl Pomerance · Annals of Mathematics · 1994 · 332 citations

, , +3

The use of theatre in requirements gathering and usability studies

A.F. Newell, Alex Carmichael, Margaret Morgan et al. · Interacting with Computers · 2006 · 115 citations

, , +7

On pseudoprimes and Carmichael numbers

P. Erdős · Publicationes Mathematicae Debrecen · 2022 · 64 citations · Full text

, , +4

Piatetski-Shapiro sequences

Roger C. Baker, William D. Banks, Jörg Brüdern et al. · Acta Arithmetica · 2012 · 39 citations

, , +6

On the Number of Carmichael Numbers up to <i>x</i>

Glyn Harman · Bulletin of the London Mathematical Society · 2005 · 33 citations

, , +12

1–5 of 24

Authors

41

  1. WD
    William D. Banks

    University of Missouri, United States

    5 publications · 102 citations

    5

    h-index

  2. IE
    Igor E. Shparlinski

    Macquarie University, Australia

    5 publications · 95 citations

    5

    h-index

  3. FP
    Francesco Pappalardi

    Roma Tre University, Italy

    3 publications · 40 citations

    3

    h-index

  4. CP
    Carl Pomerance

    University of Georgia, United States

    3 publications · 370 citations

    3

    h-index

  5. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    2 publications · 22 citations

    2

    h-index

1–5 of 41

Institutions

23

  1. Macquarie University

    Sydney, Australia

    5 h-index

    5 publications

    95 citations

  2. University of Missouri

    Columbia, United States

    5 h-index

    5 publications

    102 citations

  3. Dartmouth College

    Hanover, United States

    2 h-index

    2 publications

    38 citations

  4. Roma Tre University

    Rome, Italy

    2 h-index

    2 publications

    26 citations

  5. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    2 h-index

    3 publications

    32 citations

  6. Royal Holloway University of London

    Egham, United Kingdom

    2 h-index

    2 publications

    44 citations

  7. Université de Limoges

    Limoges, France

    1 h-index

    1 publications

    12 citations

  8. University of Toronto

    Toronto, Canada

    1 h-index

    1 publications

    12 citations

1–8 of 23

Venues

  1. 4

    h-index

  2. Acta Arithmetica

    3 publications · 68 citations

    3

    h-index

  3. Bulletin of the London Mathematical Society

    3 publications · 58 citations

    3

    h-index

  4. Mathematics of Computation

    MCOM · 2 publications · 41 citations

    2

    h-index

  5. Journal of Symbolic Computation

    1 publications · 12 citations

    1

    h-index

1–5