Sums of Three Cubes

DOI10.1112/blms/17.1.17zbMath0562.10022OpenAlexW1998484391MaRDI QIDQ5187355

Robert C. Vaughan

Publication date: 1985

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/17.1.17

zbMATH Keywords

Hardy-Littlewood methodrepresentation of integerssum of three cubes

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Representation problems (11D85)

Related Items (25)

Sums of three cubes ⋮ On the Waring-Goldbach problem for six cubes and two biquadrates ⋮ On Waring's problem for four cubes ⋮ Small prime solutions to cubic equations ⋮ On the representation of integers as a sum of mixed powers ⋮ Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour ⋮ A new iterative method in Waring's problem ⋮ On gaps between sums of four fourth powers ⋮ A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes ⋮ Cubes of primes and almost prime ⋮ On gaps between numbers that are sums of three cubes ⋮ The Waring-Goldbach problem: one square and five cubes ⋮ Cubic Diophantine inequalities ⋮ Waring-Goldbach problem: two squares and higher powers ⋮ Density of integers that are the sum of four cubes of primes in short intervals ⋮ Diophantine approximation by cubes of primes and an almost prime ⋮ The additive problem with one cube and three cubes of primes ⋮ On representation of integers by sums of a cube and three cubes of primes ⋮ On the Waring–Goldbach problem for one square and five cubes ⋮ Additive representation in short intervals. II: Sums of two like powers ⋮ On Waring’s problem: Three cubes and a minicube ⋮ On the Waring-Goldbach problem for squares, cubes and higher powers ⋮ Small prime solutions to diagonal Diophantine equations ⋮ Sums of cubes with shifts ⋮ Sums of three cubes, II

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