Concepedia

Exponential Diophantine Equations

Exponential Diophantine Equations is a subclass of Diophantine equations in which the unknowns appear not only in polynomial terms but also as exponents, thereby involving integer variables in both the bases and the exponents of the equation.

89

Publications

3.5K

Citations

108

Authors

81

Institutions

Publications per year

2017–2026

6

Parents

Publications

89

Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers

Yann Bugeaud, Maurice Mignotte, Samir Siksek · Annals of Mathematics · 2006 · 384 citations · Full text

, , +13

The Decision Problem for Exponential Diophantine Equations

Martin Davis, Hilary Putnam, Julia Robinson · Annals of Mathematics · 1961 · 329 citations

, , +8

Diophantine Equations with Special Reference To Elliptic Curves

J. W. S. Cassels · Journal of the London Mathematical Society · 1966 · 252 citations

, , +12

Ternary Diophantine Equations via Galois Representations and Modular Forms

Michael A. Bennett, Chris M. Skinner · Canadian Journal of Mathematics · 2004 · 206 citations · Full text

, , +11

Universal diophantine equation

James P. Jones · Journal of Symbolic Logic · 1982 · 109 citations

, , +10

1–5 of 89

Authors

108

  1. TN
    T. N. Shorey

    Tata Institute of Fundamental Research, India

    5 publications · 208 citations

    5

    h-index

  2. NT
    Nobuhiro Terai

    Ashikaga University, Japan

    4 publications · 117 citations

    4

    h-index

  3. LM
    LE Mao-hua

    Lingnan Normal University, China

    4 publications · 104 citations

    4

    h-index

  4. FL
    Florian Luca

    Universidad Nacional Autónoma de México, Mexico

    4 publications · 96 citations

    4

    h-index

  5. MM
    Maurice Mignotte

    Université de Strasbourg, France

    4 publications · 464 citations

    4

    h-index

1–5 of 108

Institutions

81

  1. Lingnan Normal University

    Zhanjiang, China

    4 h-index

    4 publications

    104 citations

  2. Tata Institute of Fundamental Research

    Mumbai, India

    3 h-index

    3 publications

    83 citations

  3. Ashikaga University

    Ashikaga, Japan

    3 h-index

    3 publications

    107 citations

  4. University of Calgary

    Calgary, Canada

    2 h-index

    2 publications

    193 citations

  5. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    2 h-index

    2 publications

    27 citations

  6. Romanian Academy

    Bucharest, Romania

    2 h-index

    2 publications

    27 citations

  7. Steklov Mathematical Institute

    Moscow, Russia

    2 h-index

    2 publications

    104 citations

  8. University of Warwick

    Coventry, United Kingdom

    2 h-index

    2 publications

    394 citations

1–8 of 81

Venues

  1. Journal of Number Theory

    9 publications · 330 citations

    9

    h-index

  2. Acta Arithmetica

    6 publications · 116 citations

    6

    h-index

  3. Journal of Symbolic Logic

    4 publications · 222 citations

    4

    h-index

  4. American Mathematical Monthly

    4 publications · 94 citations

    4

    h-index

  5. Bulletin of the London Mathematical Society

    3 publications · 49 citations

    3

    h-index

1–5