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The Ternary Goldbach Problem with Primes in Arithmetic Progressions

✍ Scribed by Zhen Feng Zhang; Tian Ze Wang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2001
Tongue
English
Weight
256 KB
Volume
17
Category
Article
ISSN
1439-7617

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The binary Goldbach problem with one pri
✍ Kaisa MatomΓ€ki πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 179 KB

We prove that almost all integers n ≑ 0 or 4 (mod 6) can be written in the form n = p 1 + p 2 , where The proof is an application of the half-dimensional and linear sieves with arithmetic information coming from the circle method and the Bombieri-Vinogradov prime number theorem.