A generalization of a method of Mordell to ternary quadratic forms

DOI10.1142/S1793042116501256zbMath1353.11069arXiv1508.02694OpenAlexW3101181971MaRDI QIDQ2833082

Gabriel Durham, Tiffany Treece, Sarah Blackwell, Katherine Thompson

Publication date: 16 November 2016

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

Full work available at URL: https://arxiv.org/abs/1508.02694

zbMATH Keywords

ternary quadratic formselementary methods of Mordellrepresentation by special quadratic forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Related Items (3)

Dirichlet’s proof of the three-square theorem: An algorithmic perspective ⋮ Unnamed Item ⋮ On \(k\)-regularity of sequences of valuations and last non-zero digits

Cites Work

• Sums of Three Squares
• An Introduction to the Geometry of Numbers
• Explicit upper bounds for 𝐿-functions on the critical line
• On the Progressions Associated with a Ternary Quadratic Form
• Kaplansky's ternary quadratic form
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