Results of Diophantine approximation by unlike powers of primes

DOI10.1007/S11464-018-0713-0zbMath1454.11179OpenAlexW2884581538WikidataQ129465496 ScholiaQ129465496MaRDI QIDQ1787143

Gaiyun Gao, Zhixin Liu

Publication date: 4 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11464-018-0713-0

zbMATH Keywords

Waring-Goldbach problemDiophantine inequality

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55)

Related Items (4)

A note on Diophantine approximation with prime variables and mixed powers ⋮ A Diophantine problem with unlike powers of primes ⋮ Diophantine approximation with mixed powers of primes ⋮ Diophantine approximation with mixed powers of primes

Cites Work

• Diophantine approximation with four squares and one \(k\)th power of primes
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• A Diophantine problem with a prime and three squares of primes
• A Diophantine approximation problem with two primes and one \(k\)-th power of a prime
• The values of additive forms at prime arguments
• Diophantine Approximation by Prime Numbers, II
• Diophantine approximation by unlike powers of primes
• One Diophantine inequality with unlike powers of prime variables
• Diophantine approximation with one prime and three squares of primes
• Diophantine approximation with one prime and three squares of primes
• One Diophantine inequality with unlike powers of prime variables

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