Concepedia

Hilbert Symbol

The Hilbert Symbol is a bilinear pairing defined on the multiplicative group of a local field, taking values in the roots of unity, that encodes the solvability of a quadratic form and distinguishes itself by its role in local class field theory as an explicit invariant capturing the reciprocity law for local fields.

10

Publications

198

Citations

5

Authors

2

Institutions

Publications per year

2017–2026

0

Parents

Publications

10

1–5 of 10

Authors

5

  1. RJ
    Ronald Jacobowitz

    1 publications · 35 citations

    1

    h-index

  2. VA
    V A Kolyvagin

    1 publications · 25 citations

    1

    h-index

  3. VA
    Victor Abrashkin

    Russian Academy of Sciences, Russia

    1 publications · 12 citations

    1

    h-index

  4. FT
    Floric Tavares Ribeiro

    Laboratoire de Mathématiques Blaise Pascal, France

    1 publications · 10 citations

    1

    h-index

  5. MR
    Markus Rost

    University of Regensburg, Germany

    1 publications · 33 citations

    1

    h-index

1–5 of 5

Institutions

2

  1. Russian Academy of Sciences

    Moscow, Russia

    1 h-index

    1 publications

    12 citations

  2. Laboratoire de Mathématiques de Besançon

    Besançon, France

    1 h-index

    1 publications

    10 citations

1–2 of 2

Venues

  1. Mathematics of the USSR-Izvestiya

    3 publications · 72 citations

    3

    h-index

  2. Pacific Journal of Mathematics

    1 publications · 35 citations

    1

    h-index

  3. Journal of Mathematical Sciences

    1 publications · 11 citations

    1

    h-index

  4. Geometry and topology monographs

    1 publications · 12 citations

    1

    h-index

  5. Annales de l’institut Fourier

    1 publications · 10 citations

    1

    h-index

1–5