2-adic zeros of diagonal forms

DOI10.1016/J.JNT.2018.05.004zbMath1429.11068OpenAlexW2809442873WikidataQ129650958 ScholiaQ129650958MaRDI QIDQ1668839

Michael P. Knapp

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.05.004

zbMATH Keywords

Artin's conjecturediagonal forms2-adic solubility

Mathematics Subject Classification ID

Diophantine equations in many variables (11D72) (p)-adic and power series fields (11D88)

Related Items (6)

Solubility of additive quartic forms over ramified quadratic extensions of ℚ2 ⋮ Inhomogeneous additive equations ⋮ Infinitely many counterexamples to a conjecture of Norton ⋮ Exact values of Γ∗(10,p) ⋮ More exact values of the function \(\Gamma^\ast (k)\) ⋮ On the values of $\varGamma ^*(k,p)$ and $\varGamma ^*(k)$

Cites Work

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• Diagonal equations of different degrees over p-adic fields
• Some estimates for diagonal equations over p-adic fields
• On Artin's Conjecture, I: Systems of Diagonal Forms
• Γ*(8)
• Homogeneous additive congruences
• Simultaneous equations of additive type
• Homogeneous additive equations
• A note on systems of homogeneous algebraic equations

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