Simultaneous p-adic zeros of quadratic forms

DOI10.1007/BF01641711zbMath0431.10013MaRDI QIDQ1138015

Wolfgang M. Schmidt

Publication date: 1980

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177981

zbMATH Keywords

quadratic formsbottomed systemsbottomless systemssimultaneous p-adic zeros

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Diophantine equations in many variables (11D72) (p)-adic and power series fields (11D88) Quadratic forms over local rings and fields (11E08)

Related Items (8)

Simultaneous diagonal congruences ⋮ On cubic polynomials. I: Hua's estimate of exponential sums ⋮ On cubic polynomials. II: Multiple exponential sums ⋮ On cubic polynomials. III: Systems of p-adic equations ⋮ On cubic polynomials. IV: Systems of rational equations ⋮ The Mathematical Work of Wolfgang Schmidt ⋮ The solubility of certain p-adic equations ⋮ Linear spaces on the intersection of two quadratic hypersurfaces, and systems of \(p\)-adic quadratic forms

Cites Work

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• Invariant theory
• Simultaneous Quadratic Forms
• Diophantine Problems Over Local Fields I
• Systems of three quadratic forms

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