Sums of Three Squareful Numbers

DOI10.1080/10586458.2011.605733zbMath1327.11022arXiv1106.4472OpenAlexW2100208671MaRDI QIDQ2903794

Karl Van Valckenborgh, Timothy D. Browning

Publication date: 2 August 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4472

zbMATH Keywords

rational pointssquarefull numbersplane cubic curvesBatyrev-Manin conjecturesTamagawa constant

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Evaluation of number-theoretic constants (11Y60)

Related Items (7)

Campana points and powerful values of norm forms ⋮ On the leading constant in the Manin-type conjecture for Campana points ⋮ Twins of powerful numbers ⋮ Uniformly counting rational points on conics ⋮ Hyperbola method on toric varieties ⋮ Arithmetic of higher-dimensional orbifolds and a mixed Waring problem ⋮ Campana points on biequivariant compactifications of the Heisenberg group

Cites Work

• Quantitative arithmetic of projective varieties
• Rational points of bounded height on Fano varieties
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Heights and Tamagawa measures on Fano varieties
• Multiple fibres on surfaces: geometry, hyperbolic and arithmetic aspects
• Tamagawa numbers of diagonal cubic surfaces, numerical evidence
• On a Conjecture of Erdös on 3-Powerful Numbers

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