Goldbach-Linnik type problems with unequal powers of primes

DOI10.1016/j.jnt.2016.12.009zbMath1422.11207OpenAlexW2587121485MaRDI QIDQ518100

Zhixin Liu

Publication date: 28 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.12.009

zbMATH Keywords

Waring-Goldbach problemcircle method

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)

Related Items (14)

Two prime squares, four prime cubes and powers of 2 ⋮ Exceptional set of Waring-Goldbach problem with unequal powers of primes ⋮ On pairs of Goldbach-Linnik equations with unequal powers of primes ⋮ Two prime squares, four prime cubes and powers of 2 ⋮ ON SUMS OF TWO PRIME SQUARES, FOUR PRIME CUBES AND POWERS OF TWO ⋮ Goldbach-Linnik type problems with mixed powers of primes ⋮ Exceptional set for sums of unlike powers of primes ⋮ Unnamed Item ⋮ Waring–Goldbach problem for unlike powers with almost equal variables ⋮ Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes ⋮ On the Waring-Goldbach problem for squares, cubes and higher powers ⋮ Goldbach-Linnik type problems on cubes of primes ⋮ On pairs of equations involving unlike powers of primes and powers of 2 ⋮ On unequal powers of primes and powers of 2

Cites Work

• On unequal powers of primes and powers of \(2\)
• Two results on powers of 2 in Waring-Goldbach problem
• Enlarged major arcs in additive problems. II
• On Weyl sums over primes and almost primes
• Integers represented as a sum of primes and powers of two.
• Über ein Problem vom Waring-Goldbachschen Typ
• Über ein Problem vom Waring-Goldbachschen Typ. II
• Four squares of primes and 165 powers of 2

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