Concepedia

Mordell Equations

Mordell Equations is a class of Diophantine equations of the form $ y^2 = x^3 + k $, where $ k $ is a fixed non-zero integer, distinguished from other Diophantine equations by their specific cubic-quadratic structure and their central role in the study of integer and rational solutions to elliptic curves.

27

Publications

1.3K

Citations

37

Authors

23

Institutions

Publications per year

2017–2026

2

Parents

Publications

27

DIOPHANTINE EQUATIONS

J. W. S. Cassels · Bulletin of the London Mathematical Society · 1970 · 528 citations

, , +7

On non-negative forms in real variables some or all of which are non-negative

P. H. Diananda · Mathematical Proceedings of the Cambridge Philosophical Society · 1962 · 188 citations

, , +5

Periodic points, linearizing maps, and the dynamical Mordell–Lang problem

Dragos Ghioca, Thomas J. Tucker · Journal of Number Theory · 2008 · 82 citations

, , +11

On Mordell‘s Equation

Josef Gebel, A. Pethö, Horst G. Zimmer · Compositio Mathematica · 1998 · 52 citations · Full text

, , +17

A higher dimensional analogue of Mordell's conjecture over function fields

Junjirō Noguchi · Mathematische Annalen · 1981 · 50 citations

, , +9

1–5 of 27

Authors

37

  1. TJ
    Thomas J. Tucker

    University of Rochester, United States

    2 publications · 102 citations

    2

    h-index

  2. DG
    Dragos Ghioca

    University of British Columbia, Canada

    2 publications · 102 citations

    2

    h-index

  3. PH
    P. H. Diananda

    National University of Singapore, Singapore

    2 publications · 203 citations

    2

    h-index

  4. RS
    Roel Stroeker

    Erasmus MC Cancer Institute, Netherlands

    1 publications · 23 citations

    1

    h-index

  5. HD
    H. Davenport

    University College London, United Kingdom

    1 publications · 19 citations

    1

    h-index

1–5 of 37

Institutions

23

  1. University of Rochester

    Rochester, United States

    2 h-index

    2 publications

    102 citations

  2. National University of Singapore

    Singapore, Singapore

    2 h-index

    2 publications

    203 citations

  3. University of Malaya

    Kuala Lumpur, Malaysia

    2 h-index

    2 publications

    203 citations

  4. University of British Columbia

    Vancouver, Canada

    2 h-index

    4 publications

    74 citations

  5. University of Lethbridge

    Lethbridge, Canada

    2 h-index

    2 publications

    102 citations

  6. TU Wien

    Vienna, Austria

    1 h-index

    1 publications

    11 citations

  7. McGill University

    Montreal, Canada

    1 h-index

    1 publications

    10 citations

  8. Bowling Green State University

    Bowling Green, United States

    1 h-index

    1 publications

    10 citations

1–8 of 23

Venues

  1. Journal of Number Theory

    3 publications · 103 citations

    3

    h-index

  2. Mathematics of Computation

    MCOM · 2 publications · 41 citations

    2

    h-index

  3. 2

    h-index

  4. The Mathematical Gazette

    2 publications · 25 citations

    2

    h-index

  5. Mathematische Annalen

    1 publications · 50 citations

    1

    h-index

1–5