Large sieve inequality with sparse sets of moduli applied to Goldbach conjecture

DOI10.1007/S11464-016-0527-XzbMath1422.11204OpenAlexW2439003249WikidataQ123331158 ScholiaQ123331158MaRDI QIDQ1692695

Claus Bauer

Publication date: 10 January 2018

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

Full work available at URL: https://doi.org/10.1007/s11464-016-0527-x

zbMATH Keywords

exponential sums over primesthree primes theoremsparse set of modules

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Applications of sieve methods (11N36) Sums over primes (11L20)

Cites Work

• On the Goldbach conjecture in arithmetic progressions
• On exponential sums over primes and application in Waring-Goldbach problem
• A large sieve density estimate near \(\sigma = 1\)
• The exceptional set in Hua's theorem for three squares of primes
• Exponential Sums Over Primes in an Arithmetic Progression
• Bombieri–Vinogradov type theorems for sparse sets of moduli
• The ternary Goldbach problem in arithmetic progressions
• The binary Goldbach conjecture with primes in arithmetic progressions with large modulus
• Numbers with small prime factors, and the least 𝑘th power non-residue
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