Hua's theorem with nine almost equal prime variables

DOI10.1007/S10474-007-6041-6zbMath1164.11062OpenAlexW2044219989MaRDI QIDQ950287

Guangshi Lü, Yunfei Xu

Publication date: 22 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-6041-6

zbMATH Keywords

circle methodshort intervalsadditive theory of prime numbers

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) Applications of sieve methods (11N36)

Related Items (11)

Hua's theorem with \(s\) almost equal prime variables ⋮ On some results of Hua in short intervals ⋮ Sums of almost equal prime cubes ⋮ Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem ⋮ On sums of powers of almost equal primes ⋮ Exponential sums over cubes of primes in short intervals and its applications ⋮ Density of integers that are the sum of four cubes of primes in short intervals ⋮ Sums of cubes of primes in short intervals ⋮ Sums of nine almost equal prime cubes ⋮ On sums of a prime and four prime squares in short intervals ⋮ On a generalization of Hua's theorem with five squares of primes

Cites Work

• On generalized quadratic equations in three prime variables
• Sums of five almost equal prime squares. II
• A note on sums of five almost equal prime squares
• The quadratic Waring-Goldbach problem
• The exceptional set in the four prime squares problem
• Hua's theorem with five amost equal prime variables
• Hua's theorem for five almost equal prime squares
• Hua's theorem on five almost equal prime squares
• A large sieve density estimate near \(\sigma = 1\)
• Sums of five almost equal prime squares
• Large values of Dirichlet polynomials, III
• On sums of five almost equal prime squares
• Exponential sums over primes in short intervals
• Hua's theorem on prime squares in short intervals
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