On cubic polynomials. III: Systems of p-adic equations

DOI10.1007/BF01299298zbMath0473.10017MaRDI QIDQ1158455

Wolfgang M. Schmidt

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/178068

zbMATH Keywords

estimates for exponential sumsnumber of solutions of congruencescommon nontrivial p-adic zerosystem of cubic forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Diophantine equations in many variables (11D72) Cubic and quartic Diophantine equations (11D25) (p)-adic theory (11E95) (p)-adic and power series fields (11D88)

Related Items

On cubic polynomials. IV: Systems of rational equations, The Mathematical Work of Wolfgang Schmidt, The density of integer points on homogeneous varieties, Systems of homogeneous equations, Linear spaces on the intersection of cubic hypersurfaces, The density of rational lines on cubic hypersurfaces

Cites Work

• Unnamed Item
• Simultaneous p-adic zeros of quadratic forms
• On cubic polynomials. II: Multiple exponential sums
• Equations over finite fields. An elementary approach
• Systems of homogeneous equations
• Cubic homogeneous polynomials over \(\mathfrak p\)-adic number fields
• Systems of quadratic forms.
• Simultaneous Quadratic Forms
• A note on systems of homogeneous algebraic equations