Concepedia

Ideal Class Number

The Ideal Class Number is the order of the ideal class group of a Dedekind domain, specifically measuring the extent to which unique factorization fails in the ring of integers of an algebraic number field by quantifying the equivalence classes of non-principal fractional ideals under ideal multiplication.

22

Publications

564

Citations

30

Authors

25

Institutions

Publications per year

2017–2026

2

Variants

Class Number

Parents

Publications

22

Kuroda's class number formula

Franz Lemmermeyer · Acta Arithmetica · 1994 · 74 citations · Full text

, , +9

A Class Number Formula for Cyclotomic Fields

Kenkichi Iwasawa · Annals of Mathematics · 1962 · 66 citations

, , +13

Global units and ideal class groups

Karl Rubin · Inventiones mathematicae · 1987 · 55 citations

, , +6

4-core partitions and class numbers

Ken Ono, Lawrence Sze · Acta Arithmetica · 1997 · 50 citations · Full text

, , +14

Traditional versus Non-traditional Teaching: Perspectives of Students in Introductory Statistics Classes

Holly Johnson, Nairanjana Dasgupta · Journal of Statistics Education · 2005 · 33 citations · Full text

, , +13

1–5 of 22

Authors

30

  1. TY
    Tonghai Yang

    University of Wisconsin–Madison, United States

    2 publications · 44 citations

    2

    h-index

  2. AB
    Armand Brumer

    Fordham University, United States

    1 publications · 22 citations

    1

    h-index

  3. KC
    K. Chandrasekharan

    ETH Zurich, Switzerland

    1 publications · 13 citations

    1

    h-index

  4. SK
    Shin-ichi Katayama

    Japan Advanced Institute of Science and Technology, Japan

    1 publications · 11 citations

    1

    h-index

  5. SD
    Stephen D. Miller

    Rutgers, The State University of New Jersey, United States

    1 publications · 25 citations

    1

    h-index

1–5 of 30

Institutions

25

  1. Harrisburg Area Community College

    Harrisburg, United States

    1 h-index

    1 publications

    13 citations

  2. Washington State University

    Pullman, United States

    1 h-index

    1 publications

    33 citations

  3. ETH Zurich

    Zurich, Switzerland

    1 h-index

    2 publications

    26 citations

  4. University of Idaho

    Moscow, United States

    1 h-index

    1 publications

    33 citations

  5. Laboratoire de Mathématiques de Besançon

    Besançon, France

    1 h-index

    1 publications

    25 citations

  6. State University of New York

    Albany, United States

    1 h-index

    1 publications

    25 citations

  7. The University of Tokyo

    Tokyo, Japan

    1 h-index

    1 publications

    13 citations

  8. Seton Hill University

    Greensburg, United States

    1 h-index

    1 publications

    18 citations

1–8 of 25

Venues

  1. Acta Arithmetica

    2 publications · 124 citations

    2

    h-index

  2. Canadian Mathematical Bulletin

    CMB · 2 publications · 34 citations

    2

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 3 publications · 37 citations

    2

    h-index

  4. Inventiones mathematicae

    1 publications · 55 citations

    1

    h-index

  5. Journal of Statistics Education

    JSE · 1 publications · 33 citations

    1

    h-index

1–5