On the saturation number for cubic surfaces

DOI10.1016/j.jnt.2015.03.014zbMath1395.11051arXiv1408.0402OpenAlexW1548775164MaRDI QIDQ2352006

Yu-Chao Wang

Publication date: 29 June 2015

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

Full work available at URL: https://arxiv.org/abs/1408.0402

zbMATH Keywords

circle methodsieve methoduniversal torsors

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Applications of sieve methods (11N36) Cubic and quartic Diophantine equations (11D25)

Related Items

On the saturation number for singular cubic surfaces, Finite Saturation for Unirational Varieties

Cites Work

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• Affine congruences and rational points on a certain cubic surface
• Integral points on quadrics in three variables whose coordinates have few prime factors
• Prime and almost prime integral points on principal homogeneous spaces
• Affine linear sieve, expanders, and sum-product
• Combinatorial sieves of dimension exceeding one
• On the number of rational points of bounded height on algebraic varieties
• The density of rational points on non-singular hypersurfaces
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• La conjecture de Weil. I
• The density of rational points on a certain singular cubic surface
• Almost primes represented by binary forms
• Cubic Forms in Ten Variables
• On the representation of large odd integer as a sum of three almost equal primes
• On the Exceptional Set for Goldbach's Problem in Short Intervals
• The density of rational points on cubic surfaces
• Singular del Pezzo surfaces whose universal torsors are hypersurfaces