Zeros of \(p\)-adic forms

DOI10.1016/j.jnt.2009.04.004zbMath1262.11054arXiv0807.2079OpenAlexW2962787411MaRDI QIDQ838450

Jahan Zahid

Publication date: 26 August 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2079

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) (p)-adic theory (11E95)

Related Items (1)

Improvements in Birch's theorem on forms in many variables

Uses Software

• Magma

Cites Work

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• The Magma algebra system. I: The user language
• Systems of homogeneous equations
• Quintic forms over \(p\)-adic fields
• Cubic forms in 14 variables
• On quasi algebraic closure
• Cubic homogeneous polynomials over \(\mathfrak p\)-adic number fields
• Homogeneous forms of odd degree in a large number of variables
• Forms in many variables
• Simultaneous Quadratic Forms
• On systems of three quadratic forms
• Bounds on transfer principles for algebraically closed and complete discretely valued fields
• Pairs of cubic forms in many variables
• Zeros of p -adic forms
• Diophantine Problems Over Local Fields I
• Homogeneous additive equations
• A note on systems of homogeneous algebraic equations

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