Concepedia

Hilbert Reciprocity

Hilbert Reciprocity is a reciprocity law in algebraic number theory that asserts the product of Hilbert symbols over all completions of a number field equals one, thereby encoding a fundamental local-to-global principle for quadratic forms.

4

Publications

116

Citations

4

Authors

4

Institutions

Publications per year

2017–2026

2

Variants

Hilbert Reciprocity Law

Parents

Publications

4

1–4 of 4

Authors

4

  1. TH
    Toyokazu Hiramatsu

    Kobe University, Japan

    1 publications · 14 citations

    1

    h-index

  2. VA
    Victor Abrashkin

    Russian Academy of Sciences, Russia

    1 publications · 12 citations

    1

    h-index

  3. KK
    Kazuya Katô

    The University of Osaka, Japan

    1 publications · 39 citations

    1

    h-index

  4. PS
    Peter Stevenhagen

    University of Amsterdam, Netherlands

    1 publications · 51 citations

    1

    h-index

1–4 of 4

Institutions

4

  1. Leiden University

    Leiden, The Netherlands

    1 h-index

    1 publications

    51 citations

  2. Russian Academy of Sciences

    Moscow, Russia

    1 h-index

    1 publications

    12 citations

  3. Société Mathématique de France

    Paris, France

    1 h-index

    1 publications

    39 citations

  4. Kobe University

    Kobe, Japan

    1 h-index

    1 publications

    14 citations

1–4 of 4

Venues

  1. Advanced studies in pure mathematics

    2 publications · 65 citations

    2

    h-index

  2. 1

    h-index

  3. Izvestiya Mathematics

    1 publications · 12 citations

    1

    h-index

1–3