Chen’s theorem in arithmetical progressions

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Let N be a sufficiently large even integer and q≥1, (l<sub>i</sub>,q)=1(i=1,2), l<sub>1</sub>+l<sub>2</sub>≡N(modq).It is proved that the equation N=p+P<sub>2</sub>, P≡l<sub>1</sub>(modq), P<s
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