Enlarged major arcs in additive problems. II

DOI10.1134/S0081543812010154zbMath1297.11130MaRDI QIDQ741982

Liu, Jianya

Publication date: 17 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Waring-Goldbach problemcircle methodmajor arcs

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)

Related Items (12)

Diagonal Diophantine equations with small prime variables ⋮ ON WARING–GOLDBACH PROBLEM FOR FIFTH POWERS ⋮ Two prime squares, four prime cubes and powers of 2 ⋮ On exceptional sets in the Waring-Goldbach problem for fifth powers ⋮ On pairs of Goldbach-Linnik equations with unequal powers of primes ⋮ Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes ⋮ ON SUMS OF TWO PRIME SQUARES, FOUR PRIME CUBES AND POWERS OF TWO ⋮ Goldbach-Linnik type problems with unequal powers of primes ⋮ Bombieri-type theorems for exponential sums over primes in short intervals and its application ⋮ Exceptional sets in Waring-Goldbach problem for fifth powers ⋮ On exceptional sets of biquadratic Waring-Goldbach problem ⋮ On unequal powers of primes and powers of 2

Cites Work

• Enlarged major arcs in additive problems
• On Weyl sums over primes and almost primes
• On the fractional parts of {x/n} and related sequences. II, III
• On exponential sums over primes and application in Waring-Goldbach problem
• A large sieve density estimate near \(\sigma = 1\)
• On the Waring-Goldbach Problem for Fourth and Fifth Powers
• Small Prime Solutions of Quadratic Equations
• On the Waring–Goldbach Problem: Exceptional Sets for Sums of Cubes and Higher Powers
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