Concepedia

Pell's Equation

Pell's Equation is a Diophantine equation of the form $x^2 - ny^2 = 1$, where $n$ is a given nonsquare positive integer, distinguished from other Diophantine equations by its specific quadratic structure and its fundamental role in the theory of continued fractions and unit groups in real quadratic fields.

107

Publications

2.8K

Citations

132

Authors

92

Institutions

Publications per year

2017–2026

24

Variants

Pell Equation

Parents

Publications

107

1–5 of 107

Authors

132

  1. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    14 publications · 252 citations

    11

    h-index

  2. AT
    Alain Togbé

    Purdue University Northwest, United States

    9 publications · 160 citations

    9

    h-index

  3. AD
    Andrej Dujella

    University of Zagreb, Croatia

    5 publications · 115 citations

    5

    h-index

  4. BJ
    Borka Jadrijević

    University of Split, Croatia

    4 publications · 95 citations

    4

    h-index

  5. MC
    Mihai Cipu

    Romanian Academy, Romania

    4 publications · 78 citations

    4

    h-index

1–5 of 132

Institutions

92

  1. University of the Witwatersrand

    Johannesburg, South Africa

    9 h-index

    11 publications

    163 citations

  2. University of Ostrava

    Ostrava, Czechia

    6 h-index

    6 publications

    87 citations

  3. Fort Hays Tech Northwest

    Goodland, United States

    5 h-index

    7 publications

    115 citations

  4. University of Split

    Split, Croatia

    4 h-index

    4 publications

    95 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    4 publications

    114 citations

  6. Purdue University Northwest

    Hammond, United States

    4 h-index

    6 publications

    79 citations

  7. University of Zagreb

    Zagreb, Croatia

    4 h-index

    6 publications

    106 citations

  8. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    3 h-index

    3 publications

    55 citations

1–8 of 92

Venues

  1. Acta Arithmetica

    10 publications · 352 citations

    10

    h-index

  2. Journal of Number Theory

    6 publications · 127 citations

    6

    h-index

  3. Advances in Applied Clifford Algebras

    AACA · 4 publications · 219 citations

    4

    h-index

  4. Journal of the London Mathematical Society

    4 publications · 92 citations

    4

    h-index

  5. ˜The œFibonacci quarterly

    4 publications · 297 citations

    4

    h-index

1–5