Concepedia

Class Number Computation

Class Number Computation is a mathematical procedure in computational number theory that determines the order of the ideal class group of a number field, thereby quantifying the extent to which unique factorization fails in its ring of integers.

313

Publications

8.8K

Citations

329

Authors

176

Institutions

Publications per year

2017–2026

11

Parents

Publications

313

A complete determination of the complex quadratic fields of class-number one.

H. Stärk · The Michigan Mathematical Journal · 1967 · 226 citations · Full text

, , +11

Fermat's Last Theorem. A Genetic Introduction to Algebraic Number Theory.

Lawrence C. Washington, Harold M. Edwards · Mathematics of Computation · 1978 · 171 citations

, , +13

On the Class-Number of the Corpus <i>P</i>(√−<i>k</i>)

J. E. Littlewood · Proceedings of the London Mathematical Society · 1928 · 163 citations

, , +6

Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results

Andrew Odlyzko · Journal de Théorie des Nombres de Bordeaux · 1990 · 160 citations · Full text

, , +4

Arithmetic of Unitary Groups

Goro Shimura · Annals of Mathematics · 1964 · 138 citations

, , +10

1–5 of 313

Authors

329

  1. SL
    Stéphane Louboutin

    Institut de Mathématiques de Marseille, France

    13 publications · 252 citations

    11

    h-index

  2. LC
    Lawrence C. Washington

    University of Maryland, College Park, United States

    12 publications · 564 citations

    10

    h-index

  3. SC
    S. Chowla

    Pennsylvania State University, United States

    8 publications · 355 citations

    8

    h-index

  4. HC
    Hugh C. Williams

    University of Manitoba, Canada

    7 publications · 157 citations

    7

    h-index

  5. KS
    Kenneth S. Williams

    Carleton University, Canada

    7 publications · 117 citations

    7

    h-index

1–5 of 329

Institutions

176

  1. University of Manitoba

    Winnipeg, Canada

    8 h-index

    19 publications

    374 citations

  2. University of Maryland, College Park

    College Park, United States

    7 h-index

    12 publications

    272 citations

  3. Nagoya University

    Nagoya, Japan

    7 h-index

    7 publications

    165 citations

  4. Princeton University

    Princeton, United States

    6 h-index

    7 publications

    240 citations

  5. University of Calgary

    Calgary, Canada

    6 h-index

    8 publications

    135 citations

  6. Rutgers, The State University of New Jersey

    New Brunswick, United States

    6 h-index

    6 publications

    147 citations

  7. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    6 h-index

    6 publications

    117 citations

  8. University of Michigan

    Ann Arbor, United States

    5 h-index

    7 publications

    310 citations

1–8 of 176

Venues

  1. Mathematics of Computation

    MCOM · 52 publications · 1.4K citations

    21

    h-index

  2. Journal of Number Theory

    36 publications · 1K citations

    19

    h-index

  3. Acta Arithmetica

    27 publications · 604 citations

    14

    h-index

  4. Nagoya Mathematical Journal

    11 publications · 250 citations

    11

    h-index

  5. Pacific Journal of Mathematics

    10 publications · 307 citations

    10

    h-index

1–5