Concepedia

Class Number Relations

Class Number Relations is a theoretical framework in algebraic number theory that establishes explicit connections between the class numbers of quadratic fields and the values of certain L-functions, particularly through the lens of quadratic reciprocity and genus theory.

94

Publications

2.5K

Citations

116

Authors

77

Institutions

Publications per year

2017–2026

1

Parents

Publications

94

Supersingular curves of genus two and class numbers

Tomoyoshi Ibukiyama, Toshiyuki Katsura, Frans J. Oort · French digital mathematics library (Numdam) · 1986 · 122 citations

, , +12

Number fields with class number congruent to 4 mod 8 and Hilbert's theorem 94

Hershy Kisilevsky · Journal of Number Theory · 1976 · 91 citations

, , +9

Divisibility of Class Numbers of Imaginary Quadratic Fields

K. Soundararajan · Journal of the London Mathematical Society · 2000 · 91 citations

, , +8

The non-p-part of the class number in a cyclotomic ? p -extension

Lawrence C. Washington · Inventiones mathematicae · 1978 · 87 citations

, , +10

Spacing of zeros of Hecke L-functions and the class number problem

Brian Conrey, Henryk Iwaniec · Acta Arithmetica · 2002 · 68 citations · Full text

, , +8

1–5 of 94

Authors

116

  1. CD
    Colin D. Walter

    University of Manchester, United Kingdom

    4 publications · 54 citations

    4

    h-index

  2. LC
    Lawrence C. Washington

    University of Maryland, College Park, United States

    4 publications · 178 citations

    4

    h-index

  3. KS
    Kenneth S. Williams

    Carleton University, Canada

    3 publications · 48 citations

    3

    h-index

  4. TA
    Takashi Azuhata

    Tokyo University of Science, Japan

    2 publications · 30 citations

    2

    h-index

  5. KU
    Kôji Uchida

    Nagoya University, Japan

    2 publications · 51 citations

    2

    h-index

1–5 of 116

Institutions

77

  1. University of Manitoba

    Winnipeg, Canada

    3 h-index

    7 publications

    125 citations

  2. University of Maryland, College Park

    College Park, United States

    3 h-index

    4 publications

    167 citations

  3. Institute of Mathematics

    Warsaw, Poland

    2 h-index

    4 publications

    51 citations

  4. The University of Tokyo

    Tokyo, Japan

    2 h-index

    2 publications

    39 citations

  5. Johns Hopkins Medicine

    Baltimore, United States

    2 h-index

    2 publications

    33 citations

  6. Rutgers, The State University of New Jersey

    New Brunswick, United States

    2 h-index

    2 publications

    82 citations

  7. Tohoku University

    Sendai, Japan

    2 h-index

    2 publications

    51 citations

  8. Pennsylvania State University

    State College, United States

    2 h-index

    2 publications

    76 citations

1–8 of 77

Venues

  1. Acta Arithmetica

    13 publications · 297 citations

    12

    h-index

  2. Journal of Number Theory

    15 publications · 491 citations

    12

    h-index

  3. Mathematics of Computation

    MCOM · 9 publications · 151 citations

    9

    h-index

  4. Inventiones mathematicae

    5 publications · 210 citations

    5

    h-index

  5. Mathematische Annalen

    4 publications · 100 citations

    4

    h-index

1–5