The exceptional set for sums of unlike powers of primes

DOI10.1007/S10114-014-3661-YzbMath1302.11080OpenAlexW2137120902MaRDI QIDQ477880

Li Lu Zhao

Publication date: 10 December 2014

Full work available at URL: https://doi.org/10.1007/s10114-014-3661-y

zbMATH Keywords

Waring-Goldbach problemcircle methodexceptional set

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)

Cites Work

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• On Weyl sums over primes and almost primes
• Waring-Goldbach problem for unlike powers
• A Goldbach-Waring problem for unequal powers of primes
• On exponential sums over primes and application in Waring-Goldbach problem
• Über ein Problem vom Waring-Goldbachschen Typ
• Über ein Problem vom Waring-Goldbachschen Typ. II
• On the Waring-Goldbach problem for fourth and sixth powers
• A Problem in Additive Number Theory

Related Items (8)

Waring-Goldbach problems for unlike powers with almost equal variables ⋮ ON WARING–GOLDBACH PROBLEM FOR FIFTH POWERS ⋮ A note on the exceptional set for Diophantine approximation with mixed powers of primes ⋮ Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes ⋮ Exceptional sets for sums of five and six almost equal prime cubes ⋮ Exceptional sets for sums of almost equal prime cubes ⋮ A Goldbach-Waring problem for unequal powers of primes ⋮ On an additive problem of unlike powers in short intervals

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