Diophantine approximation by unlike powers of primes

DOI10.1142/S1793042117501330zbMath1428.11067MaRDI QIDQ4595076

Zhixin Liu

Publication date: 28 November 2017

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

zbMATH Keywords

Waring-Goldbach problemDiophantine inequalities

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Diophantine inequalities (11D75) Diophantine inequalities (11J25)

Related Items (8)

A note on Diophantine approximation by unlike powers of primes ⋮ A note on the exceptional set for Diophantine approximation with mixed powers of primes ⋮ Diophantine inequality with four squares and one $k$th power of primes ⋮ On Diophantine approximation by unlike powers of primes ⋮ Results of Diophantine approximation by unlike powers of primes ⋮ A Diophantine problem with unlike powers of primes ⋮ Diophantine inequality by unlike powers of primes ⋮ Diophantine inequality by unlike powers of primes

Cites Work

• 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
• The values of additive forms at prime arguments
• Über ein Problem vom Waring-Goldbachschen Typ. II
• Diophantine Approximation by Prime Numbers, II
• Diophantine approximation with one prime and three squares of primes
• One Diophantine inequality with unlike powers of prime variables

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