Concepedia

Euler's Theorem

Euler's Theorem is a fundamental theorem in number theory that generalizes Fermat's Little Theorem by stating that for any integer \( a \) coprime to a positive integer \( n \), \( a^{\phi(n)} \equiv 1 \pmod{n} \), where \( \phi(n) \) is Euler's totient function.

216

Publications

7.7K

Citations

283

Authors

178

Institutions

Publications per year

2017–2026

23

Variants

Euler's Totient Theorem

Parents

Publications

216

A proof that Euler missed ...

Alfred van der Poorten, R. Apéry · The Mathematical Intelligencer · 1979 · 276 citations

, , +2

Eulerian Numbers and Polynomials

L. Carlitz · Mathematics Magazine · 1959 · 224 citations

, , +9

Euler and the Zeta Function

Raymond Ayoub · American Mathematical Monthly · 1974 · 223 citations

, , +11

Some Properties of Unitary Cayley Graphs

Walter Klotz, Torsten Sander · The Electronic Journal of Combinatorics · 2007 · 174 citations · Full text

, , +11

Fermat's Last Theorem. A Genetic Introduction to Algebraic Number Theory.

Lawrence C. Washington, Harold M. Edwards · Mathematics of Computation · 1978 · 171 citations

, , +13

1–5 of 216

Authors

283

  1. GE
    George E. Andrews

    Pennsylvania State University, United States

    6 publications · 181 citations

    6

    h-index

  2. PE
    Paul Erdős

    Hungarian Academy of Sciences, Hungary

    5 publications · 122 citations

    5

    h-index

  3. CP
    Carl Pomerance

    University of Georgia, United States

    5 publications · 155 citations

    5

    h-index

  4. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    4 publications · 76 citations

    4

    h-index

  5. DW
    Duane W. DeTemple

    Washington State University, United States

    3 publications · 174 citations

    3

    h-index

1–5 of 283

Institutions

178

  1. Pennsylvania State University

    State College, United States

    7 h-index

    7 publications

    478 citations

  2. Macquarie University

    Sydney, Australia

    4 h-index

    4 publications

    332 citations

  3. Hungarian Academy of Sciences

    Budapest, Hungary

    4 h-index

    4 publications

    97 citations

  4. The University of Texas at Austin

    Austin, United States

    3 h-index

    3 publications

    144 citations

  5. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    3 h-index

    4 publications

    190 citations

  6. Tokyo Institute of Technology

    Tokyo, Japan

    3 h-index

    4 publications

    122 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    101 citations

  8. University of Toronto

    Toronto, Canada

    3 h-index

    3 publications

    52 citations

1–8 of 178

Venues

  1. American Mathematical Monthly

    18 publications · 927 citations

    16

    h-index

  2. Journal of Number Theory

    13 publications · 319 citations

    11

    h-index

  3. Acta Arithmetica

    9 publications · 243 citations

    9

    h-index

  4. Bulletin of the American Mathematical Society

    9 publications · 563 citations

    9

    h-index

  5. Mathematics of Computation

    MCOM · 8 publications · 314 citations

    8

    h-index

1–5