Solubility of additive quartic forms over ramified quadratic extensions of ℚ2

DOI10.1142/S1793042122501159zbMath1503.11074arXiv2112.10854OpenAlexW4280612596WikidataQ114071783 ScholiaQ114071783MaRDI QIDQ5096641

Drew Duncan, David B. Leep

Publication date: 18 August 2022

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

Full work available at URL: https://arxiv.org/abs/2112.10854

zbMATH Keywords

forms in many variables\(p\)-adic fieldsadditive formsramified extensions

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Exact values of the function \(\varGamma ^{*}(k)\)
• 2-adic zeros of diagonal forms
• On zeros of diagonal forms over p-adic fields
• Diagonal equations over unramified extensions of Qp
• Solubility of additive sextic forms over $\mathbb{Q}_2(\sqrt{-1})$ and $\mathbb{Q}_2(\sqrt{-5})$
• Solubility of additive sextic forms over ramified quadratic extensions of $\mathbb{Q}_2$
• Homogeneous additive equations

This page was built for publication: Solubility of additive quartic forms over ramified quadratic extensions of ℚ2