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A mean value theorem on the binary Goldbach problem and its application

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Publication:996084
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DOI10.1007/s00605-007-0456-6zbMath1188.11050OpenAlexW2065444819MaRDI QIDQ996084

Xian Meng Meng

Publication date: 11 September 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-007-0456-6


zbMATH Keywords

binary Goldbach problem


Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36)


Related Items (4)

On linear equations with prime variables of special type ⋮ Goldbach's problem with primes in arithmetic progressions and in short intervals ⋮ AN ASYMPTOTIC FOR THE NUMBER OF SOLUTIONS TO LINEAR EQUATIONS IN PRIME NUMBERS FROM SPECIFIED CHEBOTAREV CLASSES ⋮ A Bombieri-Vinogradov type exponential sum result with applications



Cites Work

  • On the number of representations in the ternary Goldbach problem with one prime number in a given residue class
  • Additive problems with prime numbers of special type
  • On the ternary Goldbach problem with primes \(p_i\) such that \(p_i+2\) are almost-primes
  • Unnamed Item


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