The ternary Goldbach problem (Q1080461)
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scientific article; zbMATH DE number 3966209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The ternary Goldbach problem |
scientific article; zbMATH DE number 3966209 |
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The ternary Goldbach problem (English)
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1985
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The author shows how I. M. Vinogradov's theorem on the representation of large odd integers as the sums of three primes can be deduced in an ''elementary'' way from the Siegel-Walfisz theorem without using the Hardy- Littlewood method. One of the basic ideas is to imitate von Mangoldt's function \(\Lambda\) (n) by a certain arithmetic sum. Vaughan's identity is also applied.
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Goldbach problem
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representation of integers
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sums of three primes
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Siegel-Walfisz theorem
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Vaughan's identity
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