Über Goldbach-Zerlegungen mit nahezu gleichen Summanden. (On Goldbach decompositions with almost equal summands) (Q1179507)
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scientific article; zbMATH DE number 24725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Über Goldbach-Zerlegungen mit nahezu gleichen Summanden. (On Goldbach decompositions with almost equal summands) |
scientific article; zbMATH DE number 24725 |
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Über Goldbach-Zerlegungen mit nahezu gleichen Summanden. (On Goldbach decompositions with almost equal summands) (English)
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26 June 1992
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The author shows that if the generalized Riemann hypothesis is true, then a sufficiently large odd \(N\) can be written as \(N=p_ 1+p_ 2+p_ 3\), where \(p_ 1\), \(p_ 2\), \(p_ 3\) are odd primes with \(p_ i=N/3+O(N^{1/2}(\log N)^{7+\varepsilon})\). The proof uses the circle method together with estimates for \(\psi(x,\chi)\) that are derived from GRH.
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ternary Goldbach problem
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generalized Riemann hypothesis
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circle method
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