Concepedia

Euler's Totient Function

Euler's Totient Function is a number-theoretic function that counts the positive integers up to a given integer \( n \) that are relatively prime to \( n \), serving as a fundamental tool in modular arithmetic for determining the order of multiplicative groups modulo \( n \).

43

Publications

1.3K

Citations

68

Authors

46

Institutions

Publications per year

2017–2026

10

Variants

Euler's Phi Function

Parents

Publications

43

Ramanujan Sums in the Context of Signal Processing—Part I: Fundamentals

P. P. Vaidyanathan · IEEE Transactions on Signal Processing · 2014 · 145 citations

, , +10

On Euler’s totient function

D. H. Lehmer · Bulletin of the American Mathematical Society · 1932 · 109 citations · Full text

, , +4

A New Banach Space Defined By Euler Totient Matrix Operator

Merve İlkhan, Emrah Evren Kara · Operators and Matrices · 2019 · 80 citations · Full text

, , +11

The Distribution of Totients

The Ramanujan Journal · 1998 · 76 citations

, , +8

Pell's RSA key generation and its security analysis

T. Chandra Segar · 2013 Fourth International Conference on Computing, Communications and Networking Technologies (ICCCNT) · 2013 · 64 citations

, , +16

1–5 of 43

Authors

68

  1. Mİ
    Merve İlkhan

    Düzce Üniversitesi, Türkiye

    3 publications · 137 citations

    3

    h-index

  2. EE
    Emrah Evren Kara

    Düzce Üniversitesi, Türkiye

    2 publications · 102 citations

    2

    h-index

  3. DH
    D. H. Lehmer

    University of California, Berkeley, United States

    1 publications · 109 citations

    1

    h-index

  4. QT
    Qifu Tyler Sun

    University of Science and Technology Beijing, China

    1 publications · 20 citations

    1

    h-index

  5. BR
    Bhooshan Rajpathak

    Visvesvaraya National Institute of Technology, India

    1 publications · 12 citations

    1

    h-index

1–5 of 68

Institutions

46

  1. The University of Texas at Austin

    Austin, United States

    3 h-index

    3 publications

    144 citations

  2. Düzce Üniversitesi

    Düzce, Türkiye

    2 h-index

    3 publications

    79 citations

  3. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    2 h-index

    2 publications

    24 citations

  4. Vrije Universiteit Amsterdam

    Amsterdam, The Netherlands

    1 h-index

    1 publications

    11 citations

  5. University of South Florida

    Tampa, United States

    1 h-index

    1 publications

    17 citations

  6. Kazan Federal University

    Kazan’, Russia

    1 h-index

    3 publications

    39 citations

  7. Muscular Dystrophy Canada

    Toronto, Canada

    1 h-index

    1 publications

    12 citations

  8. Yonsei University

    Seoul, South Korea

    1 h-index

    2 publications

    40 citations

1–8 of 46

Venues

  1. Bulletin of the London Mathematical Society

    3 publications · 38 citations

    3

    h-index

  2. American Mathematical Monthly

    3 publications · 31 citations

    3

    h-index

  3. International Journal of Number Theory

    IJNT · 2 publications · 40 citations

    2

    h-index

  4. Bulletin of the American Mathematical Society

    2 publications · 139 citations

    2

    h-index

  5. Journal of Number Theory

    2 publications · 29 citations

    2

    h-index

1–5