Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes

DOI10.1007/S11464-019-0794-4zbMath1459.11190OpenAlexW2981625610WikidataQ127027450 ScholiaQ127027450MaRDI QIDQ2279107

Rui Zhang

Publication date: 12 December 2019

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-019-0794-4

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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• Goldbach-Linnik type problems with unequal powers of primes
• Enlarged major arcs in additive problems
• On Weyl sums over primes and almost primes
• Exceptional set for sums of unlike powers of primes
• The additive problem with one cube and three cubes of primes
• Embedding periodic maps on surfaces into those on \(S^3\)
• On exponential sums over primes and application in Waring-Goldbach problem
• Relations between exceptional sets for additive problems
• Exceptional set for sums of unlike powers of primes
• On the Waring-Goldbach problem for fourth and sixth powers
• On the Representation of Numbers as Sums of Powers of Natural Numbers
• Enlarged major arcs in the Waring–Goldbach problem
• SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY

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