Density of the sums of four cubes of primes

DOI10.1016/J.JNT.2011.12.003zbMath1287.11117OpenAlexW2049408415MaRDI QIDQ765159

Zhixin Liu

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.12.003

zbMATH Keywords

Waring-Goldbach problemcircle methodsieve methods

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Applications of sieve methods (11N36)

Related Items (9)

Goldbach-Linnik type problems on eight cubes of primes ⋮ Waring-Goldbach problem involving cubes of primes ⋮ Powers of 2 in two Goldbach-Linnik type problems involving prime cubes ⋮ A PAIR OF EQUATIONS IN EIGHT PRIME CUBES AND POWERS OF 2 ⋮ On pairs of eight cubes of primes and powers of 2 ⋮ Eight cubes of primes and 204 powers of 2 ⋮ Density of integers that are the sum of four cubes of primes in short intervals ⋮ Goldbach-Linnik type problems on cubes of primes ⋮ Linnik's approximation to Goldbach's conjecture, and other problems

Cites Work

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• Sums of four cubes of primes.
• On the Waring-Goldbach Problem for Fourth and Fifth Powers
• Eight cubes of primes and powers of 2
• A new form of the error term in the linear sieve
• A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
• On Waring's Problem for Cubes
• Density of integers that are the sum of four cubes of primes

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