A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes

DOI10.24033/asens.1721zbMath0839.11045OpenAlexW2464507734MaRDI QIDQ4855605

Jörg Brüdern

Publication date: 19 June 1996

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1995_4_28_4_461_0

zbMATH Keywords

Hardy-Littlewood circle methodsievelinear sieve with weights

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 (22)

On the Waring-Goldbach problem for six cubes and two biquadrates ⋮ On ternary problems in additive prime number theory ⋮ Goldbach-Linnik type problems on eight cubes of primes ⋮ Waring-Goldbach problem involving cubes of primes ⋮ Cubes of primes and almost prime ⋮ On pairs of eight cubes of primes and powers of 2 ⋮ Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes ⋮ Waring-Goldbach problem: two squares and some higher powers ⋮ The Waring-Goldbach problem: one square and five cubes ⋮ 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 ⋮ On Waring-Goldbach problem involving fourth powers ⋮ On representation of integers by sums of a cube and three cubes of primes ⋮ On the Waring-Goldbach problem for squares, cubes and higher powers ⋮ Density of the sums of four cubes of primes ⋮ On the Waring-Goldbach problem for fourth and sixth powers ⋮ Unnamed Item ⋮ Waring-Goldbach problem: two squares and some unlike powers ⋮ Translation invariant quadratic forms and dense sets of primes ⋮ Waring's problem with digital restrictions ⋮ Sums of four cubes of primes.

Cites Work

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• The weighted linear sieve and Selberg's $λ^2$-method
• Three Primes and an Almost-Prime in Arithmetic Progression
• A weighted sieve of Brun's type
• Sums of Three Cubes
• SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY
• On Waring's Problem for Cubes
• On Waring's problem for cubes
• On Waring's problem for cubes

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