On Chudakov's theorem involving primes of a special type (Q2857869)
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scientific article; zbMATH DE number 6229057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Chudakov's theorem involving primes of a special type |
scientific article; zbMATH DE number 6229057 |
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19 November 2013
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binary Goldbach problem
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distribution modulo one
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exponential sums
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On Chudakov's theorem involving primes of a special type (English)
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Let \(\theta\) be an irrational algebraic number and let \(I\) be an interval in \([0,1)\) of length \(|I| > 1/2\). Let \(P = P(\theta; I)\) denote the set of primes \(p\) such that \(\theta p\) lies in \(I\) modulo one. In this paper, the authors prove that for any fixed \(A > 0\), all but \(O( x(\log x)^{-A} )\) even integers \(n \leq x\) can be expressed as sums of two primes from the set \(P\).
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