Concepedia

Class Number Formulas

Class Number Formulas is a mathematical framework in algebraic number theory that provides explicit expressions for the class number of a number field in terms of analytic invariants such as residues of Dedekind zeta functions, regulators, and discriminants.

335

Publications

10.7K

Citations

300

Authors

182

Institutions

Publications per year

2017–2026

10

Variants

Class Number Formula

Parents

Publications

335

Algebraic groups and number theory

Andrei S. Rapinchuk · Russian Mathematical Surveys · 1992 · 863 citations

, , +16

Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication

Choice Reviews Online · 1990 · 393 citations

, , +13

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

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

, , +13

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

On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

Takuro Shintani · Journal of the Mathematical Society of Japan · 1972 · 147 citations · Full text

, , +9

1–5 of 335

Authors

300

  1. SL
    Stéphane Louboutin

    Institut de Mathématiques de Marseille, France

    14 publications · 292 citations

    11

    h-index

  2. SC
    S. Chowla

    Pennsylvania State University, United States

    10 publications · 437 citations

    10

    h-index

  3. LC
    Lawrence C. Washington

    University of Maryland, College Park, United States

    11 publications · 545 citations

    10

    h-index

  4. HC
    Hywel C Williams

    University of Nottingham, United Kingdom

    8 publications · 162 citations

    8

    h-index

  5. NC
    N. C. Ankeny

    Princeton University, United States

    7 publications · 332 citations

    7

    h-index

1–5 of 300

Institutions

182

  1. University of Manitoba

    Winnipeg, Canada

    10 h-index

    23 publications

    476 citations

  2. University of Calgary

    Calgary, Canada

    8 h-index

    10 publications

    188 citations

  3. Nagoya University

    Nagoya, Japan

    8 h-index

    8 publications

    176 citations

  4. University of Maryland, College Park

    College Park, United States

    6 h-index

    11 publications

    253 citations

  5. University of Michigan

    Ann Arbor, United States

    6 h-index

    8 publications

    329 citations

  6. The University of Tokyo

    Tokyo, Japan

    6 h-index

    6 publications

    244 citations

  7. Princeton University

    Princeton, United States

    6 h-index

    7 publications

    240 citations

  8. Institut de Mathématiques de Marseille

    Marseille, France

    5 h-index

    5 publications

    134 citations

1–8 of 182

Venues

  1. Mathematics of Computation

    MCOM · 48 publications · 1.3K citations

    21

    h-index

  2. Journal of Number Theory

    36 publications · 1.1K citations

    20

    h-index

  3. Nagoya Mathematical Journal

    19 publications · 395 citations

    15

    h-index

  4. Acta Arithmetica

    25 publications · 566 citations

    14

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 16 publications · 351 citations

    12

    h-index

1–5