Concepedia

Simultaneous Diophantine Equations

Simultaneous Diophantine Equations is a system of Diophantine equations requiring integer solutions that satisfy all equations in the system concurrently, distinguished from individual Diophantine equations by the necessity of common integral solutions across multiple constraints.

122

Publications

4.5K

Citations

179

Authors

126

Institutions

Publications per year

2017–2026

6

Variants

Systems Of Diophantine Equations

Parents

Publications

122

An application of simultaneous diophantine approximation in combinatorial optimization

András Frank, Éva Tardos · COMBINATORICA · 1987 · 331 citations

, , +13

Diophantine equations in control—A survey

V. Kučera · Automatica · 1993 · 279 citations

, , +13

A construction of a space-time code based on number theory

Mohamed Oussama Damen, Ahmed H. Tewfik, J.-C. Belflore · IEEE Transactions on Information Theory · 2002 · 264 citations

, , +14

Diophantine Equations with Special Reference To Elliptic Curves

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

, , +12

The Computational Complexity of Simultaneous Diophantine Approximation Problems

Jeffrey C. Lagarias · SIAM Journal on Computing · 1985 · 198 citations

, , +17

1–5 of 122

Authors

179

  1. SV
    Sanju Velani

    University of York, United Kingdom

    6 publications · 305 citations

    6

    h-index

  2. DD
    Detta Dickinson

    National University of Ireland, Maynooth, Ireland

    4 publications · 171 citations

    4

    h-index

  3. VB
    Victor Beresnevich

    University of York, United Kingdom

    3 publications · 162 citations

    3

    h-index

  4. NM
    Nikolay Moshchevitin

    Lomonosov Moscow State University, Russia

    2 publications · 25 citations

    2

    h-index

  5. KJ
    Kamal Jain

    Indian Institute of Technology Roorkee, India

    2 publications · 210 citations

    2

    h-index

1–5 of 179

Institutions

126

  1. University of York

    York, United Kingdom

    5 h-index

    8 publications

    442 citations

  2. University of Debrecen

    Debrecen, Hungary

    3 h-index

    4 publications

    49 citations

  3. National University of Ireland, Maynooth

    Maynooth, Ireland

    3 h-index

    4 publications

    172 citations

  4. Graz University of Technology

    Graz, Austria

    3 h-index

    5 publications

    63 citations

  5. Tata Institute of Fundamental Research

    Mumbai, India

    3 h-index

    3 publications

    77 citations

  6. University of Chicago

    Chicago, United States

    3 h-index

    3 publications

    54 citations

  7. University of Colorado Boulder

    Boulder, United States

    2 h-index

    2 publications

    70 citations

  8. University of Göttingen

    Göttingen, Germany

    2 h-index

    2 publications

    53 citations

1–8 of 126

Venues

  1. 6

    h-index

  2. Acta Arithmetica

    5 publications · 272 citations

    5

    h-index

  3. Journal of Number Theory

    4 publications · 84 citations

    4

    h-index

  4. Journal of the London Mathematical Society

    2 publications · 262 citations

    2

    h-index

  5. Annals of Mathematics

    2 publications · 174 citations

    2

    h-index

1–5