On common zeros of a pair of quadratic forms over a finite field

DOI10.1016/j.ffa.2018.01.007zbMath1421.11028OpenAlexW2791393737MaRDI QIDQ1747920

Alexander S. Sivatski

Publication date: 27 April 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.01.007

zbMATH Keywords

quadratic formglobal fieldBrumer's theoremsecond residue mapthe Hasse-Minkowski theorem

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Finite fields and commutative rings (number-theoretic aspects) (11T99) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Algebraic number theory: global fields (11R99)

Related Items (1)

Classification of 3-dimensional pairs of quadratic forms over a field

Cites Work

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• Isomorphic pairs of quadratic forms
• Intersections in projective space. II: Pencils of quadrics
• Quadratic forms under algebraic extensions
• Numbers of solutions of equations in finite fields

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