Concepedia

Pell Equation Algorithms

Pell Equation Algorithms is a class of computational methods designed to solve Pell equations of the form \(x^2 - dy^2 = 1\) by leveraging continued fraction expansions or recurrence relations that systematically generate integer solutions through the fundamental unit of the associated real quadratic field.

40

Publications

1.5K

Citations

59

Authors

48

Institutions

Publications per year

2017–2026

7

Parents

Publications

40

1–5 of 40

Authors

59

  1. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    4 publications · 64 citations

    4

    h-index

  2. SH
    Sean Hallgren

    Pennsylvania State University, United States

    3 publications · 329 citations

    3

    h-index

  3. AT
    Alain Togbé

    Purdue University Northwest, United States

    2 publications · 28 citations

    2

    h-index

  4. AP
    A. Pethö

    University of Debrecen, Hungary

    2 publications · 27 citations

    2

    h-index

  5. MA
    Michael A. Bennett

    University of British Columbia, Canada

    2 publications · 24 citations

    2

    h-index

1–5 of 59

Institutions

48

  1. University of Debrecen

    Debrecen, Hungary

    3 h-index

    3 publications

    46 citations

  2. University of the Witwatersrand

    Johannesburg, South Africa

    3 h-index

    3 publications

    41 citations

  3. University of Ostrava

    Ostrava, Czechia

    2 h-index

    2 publications

    24 citations

  4. California Institute of Technology

    Pasadena, United States

    2 h-index

    2 publications

    183 citations

  5. Fort Hays Tech Northwest

    Goodland, United States

    2 h-index

    3 publications

    39 citations

  6. Purdue University Northwest

    Hammond, United States

    2 h-index

    3 publications

    39 citations

  7. University of Calgary

    Calgary, Canada

    1 h-index

    1 publications

    19 citations

  8. Guangdong University of Technology

    Guangzhou, China

    1 h-index

    1 publications

    17 citations

1–8 of 48

Venues

  1. Journal of Number Theory

    3 publications · 49 citations

    3

    h-index

  2. Periodica Mathematica Hungarica

    2 publications · 24 citations

    2

    h-index

  3. ˜The œFibonacci quarterly

    2 publications · 245 citations

    2

    h-index

  4. Choice Reviews Online

    CRO · 2 publications · 53 citations

    2

    h-index

  5. Mathematics of Computation

    MCOM · 1 publications · 19 citations

    1

    h-index

1–5