Concepedia

Generic Polynomials

Generic Polynomials is a constructive class of parametric polynomials over a field that, by means of specialization of its parameters, generates all Galois extensions within a given Galois group, distinguished by its ability to uniformly represent such extensions through rational function field coefficients.

140

Publications

4.9K

Citations

206

Authors

142

Institutions

Publications per year

2017–2026

15

Parents

Publications

140

On a class of polynomials connected with the Korteweg-deVries equation

Mark Adler, J. Moser · Communications in Mathematical Physics · 1978 · 382 citations

, , +7

On certain functions connected with polynomials in a Galois field

L. Carlitz · Duke Mathematical Journal · 1935 · 286 citations

, , +11

Semi-Invariants of Quivers

Aidan Schofield · Journal of the London Mathematical Society · 1991 · 176 citations

, , +15

Polynomial extensions of Baer and quasi-Baer rings

Gary F. Birkenmeier, Jin Yong Kim, Jae Keol Park · Journal of Pure and Applied Algebra · 2001 · 141 citations

, , +9

Computing multiple roots of inexact polynomials

Zhonggang Zeng · Mathematics of Computation · 2004 · 118 citations · Full text

, , +16

1–5 of 140

Authors

206

  1. YŞ
    Yılmaz Şimşek

    Akdeniz University, Türkiye

    3 publications · 145 citations

    3

    h-index

  2. IR
    Ian R. Petersen

    Australian Defence Force Academy, Australia

    2 publications · 76 citations

    2

    h-index

  3. ZZ
    Zhonggang Zeng

    Northeastern Illinois University, United States

    2 publications · 148 citations

    2

    h-index

  4. AD
    Andrii Dmytryshyn

    Umeå University, Sweden

    2 publications · 38 citations

    2

    h-index

  5. JV
    Joachim von zur Gathen

    University of Toronto, Canada

    2 publications · 32 citations

    2

    h-index

1–5 of 206

Institutions

142

  1. Pennsylvania State University

    State College, United States

    4 h-index

    4 publications

    84 citations

  2. Heidelberg University

    Heidelberg, Germany

    3 h-index

    3 publications

    77 citations

  3. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    3 h-index

    5 publications

    113 citations

  4. National Agency for New Technologies, Energy and Sustainable Economic Development

    Rome, Italy

    2 h-index

    2 publications

    75 citations

  5. Universidad Carlos III de Madrid

    Madrid, Spain

    2 h-index

    2 publications

    38 citations

  6. Northeastern Illinois University

    Chicago, United States

    2 h-index

    2 publications

    148 citations

  7. Washington University in St. Louis

    St Louis, United States

    2 h-index

    2 publications

    65 citations

  8. University of Michigan

    Ann Arbor, United States

    2 h-index

    2 publications

    92 citations

1–8 of 142

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 8 publications · 317 citations

    8

    h-index

  2. Journal of Algebra

    7 publications · 201 citations

    7

    h-index

  3. Journal of Symbolic Computation

    6 publications · 221 citations

    6

    h-index

  4. Mathematics of Computation

    MCOM · 5 publications · 183 citations

    5

    h-index

  5. Journal of Number Theory

    5 publications · 209 citations

    5

    h-index

1–5