Concepedia

Norm Form Equations

Norm Form Equations is a class of Diophantine equations defined by equating a multiplicative norm of an algebraic number field extension to a fixed integer, distinguished by their reliance on norm maps from field-theoretic algebraic structures to characterize integer solutions.

19

Publications

517

Citations

26

Authors

15

Institutions

Publications per year

2017–2026

0

Parents

Publications

19

On a general Thue's equation

Pietro Corvaja, Umberto Zannier · American Journal of Mathematics · 2004 · 88 citations

, , +12

Bounds for the solutions of Thue-Mahler equations and norm form equations

Yann Bugeaud, Kálmán Győry · Acta Arithmetica · 1996 · 84 citations · Full text

, , +3

Specialization of quadratic and symmetric, bilinear forms, and a norm theorem

Manfred Knebusch · Acta Arithmetica · 1973 · 60 citations · Full text

, , +8

Norm form equations I

R. C. Mason · Journal of Number Theory · 1986 · 44 citations

, , +3

Bounds for the solutions of norm form, discriminant form and index form equations in finitely generated integral domains

Kálmán Győry · Acta Mathematica Academiae Scientiarum Hungaricae · 1983 · 29 citations

, , +8

1–5 of 19

Authors

26

  1. KG
    Kálmán Győry

    University of Debrecen, Hungary

    2 publications · 113 citations

    2

    h-index

  2. RC
    R. C. Mason

    St. John's College of Nursing, United States

    2 publications · 54 citations

    2

    h-index

  3. AP
    Attila Pethő

    University of Debrecen, Hungary

    2 publications · 23 citations

    2

    h-index

  4. AB
    Attila Bérczes

    University of Debrecen, Hungary

    2 publications · 23 citations

    2

    h-index

  5. JK
    József Ködmön

    University of Debrecen, Hungary

    1 publications · 13 citations

    1

    h-index

1–5 of 26

Institutions

15

  1. University of Debrecen

    Debrecen, Hungary

    4 h-index

    8 publications

    182 citations

  2. University of Bristol

    Bristol, United Kingdom

    2 h-index

    2 publications

    42 citations

  3. University of Potsdam

    Potsdam, Germany

    1 h-index

    1 publications

    12 citations

  4. University of Michigan

    Ann Arbor, United States

    1 h-index

    1 publications

    23 citations

  5. Institute of Mathematical Statistics

    Beachwood, United States

    1 h-index

    1 publications

    12 citations

  6. Technische Universität Berlin

    Berlin, Germany

    1 h-index

    2 publications

    30 citations

  7. Canisius College

    Buffalo, United States

    1 h-index

    1 publications

    10 citations

  8. Trinity College Dublin

    Dublin, Ireland

    1 h-index

    3 publications

    51 citations

1–8 of 15

Venues

  1. Journal of Number Theory

    4 publications · 93 citations

    4

    h-index

  2. Acta Arithmetica

    2 publications · 144 citations

    2

    h-index

  3. American Journal of Mathematics

    2 publications · 99 citations

    2

    h-index

  4. Rocky Mountain Journal of Mathematics

    1 publications · 10 citations

    1

    h-index

  5. Mathematika

    1 publications · 17 citations

    1

    h-index

1–5