Concepedia

S-unit Equations

S-Unit Equations is a Diophantine equation of the form \( x + y = 1 \) where \( x \) and \( y \) are restricted to lie in the multiplicative group of S-units of a number field, distinguished from other Diophantine equations by the constraint that solutions are required to be composed of units at a prescribed finite set of primes S.

25

Publications

795

Citations

28

Authors

21

Institutions

Publications per year

2017–2026

2

Parents

Publications

25

On sums of $S$-units and linear recurrences

Jan‐Hendrik Evertse · French digital mathematics library (Numdam) · 1984 · 171 citations

, , +5

Bounds for the solutions of S-unit equations and decomposable form equations

Kálmán Győry, Kunrui Yu · Acta Arithmetica · 2006 · 71 citations · Full text

, , +4

S-unit equations over number fields

Hans Peter Schlickewei · Inventiones mathematicae · 1990 · 61 citations

, , +9

Additive relations in fields

A. J. van der Poorten, Hans Peter Schlickewei · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1991 · 49 citations · Full text

, , +9

The <i>S</i>-unit equation over function fields

Joseph H. Silverman · Mathematical Proceedings of the Cambridge Philosophical Society · 1984 · 44 citations

, , +14

1–5 of 25

Authors

28

  1. JE
    Jan‐Hendrik Evertse

    Leiden University, Netherlands

    3 publications · 199 citations

    3

    h-index

  2. KG
    Kálmán Győry

    University of Debrecen, Hungary

    2 publications · 84 citations

    2

    h-index

  3. HP
    Hans Peter Schlickewei

    Universität Ulm, Germany

    2 publications · 110 citations

    2

    h-index

  4. AB
    Attila Bérczes

    University of Debrecen, Hungary

    2 publications · 23 citations

    2

    h-index

  5. JH
    Joseph H. Silverman

    University of Maryland, College Park, United States

    2 publications · 54 citations

    2

    h-index

1–5 of 28

Institutions

21

  1. University of Debrecen

    Debrecen, Hungary

    4 h-index

    5 publications

    131 citations

  2. Hungarian Academy of Sciences

    Budapest, Hungary

    3 h-index

    4 publications

    121 citations

  3. Leiden University

    Leiden, The Netherlands

    2 h-index

    3 publications

    43 citations

  4. Universität Ulm

    Ulm, Germany

    2 h-index

    2 publications

    110 citations

  5. Brown University

    Providence, United States

    2 h-index

    2 publications

    50 citations

  6. University of Amsterdam

    Amsterdam, The Netherlands

    1 h-index

    1 publications

    15 citations

  7. University of Michigan

    Ann Arbor, United States

    1 h-index

    1 publications

    17 citations

  8. University of Waterloo

    Waterloo, Canada

    1 h-index

    1 publications

    15 citations

1–8 of 21

Venues

  1. Acta Arithmetica

    4 publications · 132 citations

    4

    h-index

  2. 2

    h-index

  3. Mathematics of Computation

    MCOM · 2 publications · 37 citations

    2

    h-index

  4. French digital mathematics library (Numdam)

    Repository · 2 publications · 196 citations

    2

    h-index

  5. Doklady Mathematics

    2 publications · 32 citations

    2

    h-index

1–5